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Finding the Fourth Proportional to 6,451.31, 9,735.05 and 6,219.62

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Solution

The fourth proportional to 6,451.31, 9,735.05 and 6,219.62 is: 9,385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.31 : 9,735.05 = 6,219.62 : x
  2. Step 2: Convert to fraction form
    6,451.31/9,735.05 = 6,219.62/x
  3. Step 3: Cross multiply
    6,451.31x = 9,735.05 × 6,219.62
  4. Step 4: Simplify right side
    6,451.31x = 60,548,369.25
  5. Step 5: Solve for x
    x = 60,548,369.25/6,451.31
  6. Step 6: Final answer
    x = 9,385.44

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.