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Finding the Fourth Proportional to 7,699.86, 11,493.63 and 6,611.22

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Solution

The fourth proportional to 7,699.86, 11,493.63 and 6,611.22 is: 9,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.86 : 11,493.63 = 6,611.22 : x
  2. Step 2: Convert to fraction form
    7,699.86/11,493.63 = 6,611.22/x
  3. Step 3: Cross multiply
    7,699.86x = 11,493.63 × 6,611.22
  4. Step 4: Simplify right side
    7,699.86x = 75,986,916.53
  5. Step 5: Solve for x
    x = 75,986,916.53/7,699.86
  6. Step 6: Final answer
    x = 9,868.61

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Half scale
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Double scale
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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.