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Finding the Fourth Proportional to 15,772.95, 23,654.57 and 5,240.72

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Solution

The fourth proportional to 15,772.95, 23,654.57 and 5,240.72 is: 7,859.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.95 : 23,654.57 = 5,240.72 : x
  2. Step 2: Convert to fraction form
    15,772.95/23,654.57 = 5,240.72/x
  3. Step 3: Cross multiply
    15,772.95x = 23,654.57 × 5,240.72
  4. Step 4: Simplify right side
    15,772.95x = 123,967,011.02
  5. Step 5: Solve for x
    x = 123,967,011.02/15,772.95
  6. Step 6: Final answer
    x = 7,859.47

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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.