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Finding the Fourth Proportional to 6,847.84, 10,219.31 and 6,109.66

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Solution

The fourth proportional to 6,847.84, 10,219.31 and 6,109.66 is: 9,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.84 : 10,219.31 = 6,109.66 : x
  2. Step 2: Convert to fraction form
    6,847.84/10,219.31 = 6,109.66/x
  3. Step 3: Cross multiply
    6,847.84x = 10,219.31 × 6,109.66
  4. Step 4: Simplify right side
    6,847.84x = 62,436,509.53
  5. Step 5: Solve for x
    x = 62,436,509.53/6,847.84
  6. Step 6: Final answer
    x = 9,117.69

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Half scale
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Double scale
Find fourth proportional to 6,848.84, 10,220.80 and 6,110.66
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.