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Finding the Fourth Proportional to 10,502.48, 15,753.72 and 8,646.15

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Solution

The fourth proportional to 10,502.48, 15,753.72 and 8,646.15 is: 12,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.48 : 15,753.72 = 8,646.15 : x
  2. Step 2: Convert to fraction form
    10,502.48/15,753.72 = 8,646.15/x
  3. Step 3: Cross multiply
    10,502.48x = 15,753.72 × 8,646.15
  4. Step 4: Simplify right side
    10,502.48x = 136,208,982.95
  5. Step 5: Solve for x
    x = 136,208,982.95/10,502.48
  6. Step 6: Final answer
    x = 12,969.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.