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Finding the Fourth Proportional to 10,457.52, 15,686.10 and 2,666.22

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Solution

The fourth proportional to 10,457.52, 15,686.10 and 2,666.22 is: 3,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.52 : 15,686.10 = 2,666.22 : x
  2. Step 2: Convert to fraction form
    10,457.52/15,686.10 = 2,666.22/x
  3. Step 3: Cross multiply
    10,457.52x = 15,686.10 × 2,666.22
  4. Step 4: Simplify right side
    10,457.52x = 41,822,593.54
  5. Step 5: Solve for x
    x = 41,822,593.54/10,457.52
  6. Step 6: Final answer
    x = 3,999.28

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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.