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Finding the Fourth Proportional to 15,697.30, 23,531.31 and 5,301.78

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Solution

The fourth proportional to 15,697.30, 23,531.31 and 5,301.78 is: 7,947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.30 : 23,531.31 = 5,301.78 : x
  2. Step 2: Convert to fraction form
    15,697.30/23,531.31 = 5,301.78/x
  3. Step 3: Cross multiply
    15,697.30x = 23,531.31 × 5,301.78
  4. Step 4: Simplify right side
    15,697.30x = 124,757,828.73
  5. Step 5: Solve for x
    x = 124,757,828.73/15,697.30
  6. Step 6: Final answer
    x = 7,947.73

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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.