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Finding the Fourth Proportional to 16,486.85, 24,729.99 and 5,242.14

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Solution

The fourth proportional to 16,486.85, 24,729.99 and 5,242.14 is: 7,863.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.85 : 24,729.99 = 5,242.14 : x
  2. Step 2: Convert to fraction form
    16,486.85/24,729.99 = 5,242.14/x
  3. Step 3: Cross multiply
    16,486.85x = 24,729.99 × 5,242.14
  4. Step 4: Simplify right side
    16,486.85x = 129,638,069.78
  5. Step 5: Solve for x
    x = 129,638,069.78/16,486.85
  6. Step 6: Final answer
    x = 7,863.12

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