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Finding the Fourth Proportional to 15,772.70, 23,654.18 and 5,240.48

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Solution

The fourth proportional to 15,772.70, 23,654.18 and 5,240.48 is: 7,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.70 : 23,654.18 = 5,240.48 : x
  2. Step 2: Convert to fraction form
    15,772.70/23,654.18 = 5,240.48/x
  3. Step 3: Cross multiply
    15,772.70x = 23,654.18 × 5,240.48
  4. Step 4: Simplify right side
    15,772.70x = 123,959,257.21
  5. Step 5: Solve for x
    x = 123,959,257.21/15,772.70
  6. Step 6: Final answer
    x = 7,859.10

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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.