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Finding the Fourth Proportional to 16,420.68, 22,652.10 and 10,757.16

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Solution

The fourth proportional to 16,420.68, 22,652.10 and 10,757.16 is: 14,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.68 : 22,652.10 = 10,757.16 : x
  2. Step 2: Convert to fraction form
    16,420.68/22,652.10 = 10,757.16/x
  3. Step 3: Cross multiply
    16,420.68x = 22,652.10 × 10,757.16
  4. Step 4: Simplify right side
    16,420.68x = 243,672,264.04
  5. Step 5: Solve for x
    x = 243,672,264.04/16,420.68
  6. Step 6: Final answer
    x = 14,839.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.