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Finding the Fourth Proportional to 15,952.42, 23,930.82 and 5,419.61

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Solution

The fourth proportional to 15,952.42, 23,930.82 and 5,419.61 is: 8,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,952.42 : 23,930.82 = 5,419.61 : x
  2. Step 2: Convert to fraction form
    15,952.42/23,930.82 = 5,419.61/x
  3. Step 3: Cross multiply
    15,952.42x = 23,930.82 × 5,419.61
  4. Step 4: Simplify right side
    15,952.42x = 129,695,771.21
  5. Step 5: Solve for x
    x = 129,695,771.21/15,952.42
  6. Step 6: Final answer
    x = 8,130.16

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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.