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Finding the Fourth Proportional to 15,428.96, 23,140.52 and 7,523.54

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Solution

The fourth proportional to 15,428.96, 23,140.52 and 7,523.54 is: 11,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,428.96 : 23,140.52 = 7,523.54 : x
  2. Step 2: Convert to fraction form
    15,428.96/23,140.52 = 7,523.54/x
  3. Step 3: Cross multiply
    15,428.96x = 23,140.52 × 7,523.54
  4. Step 4: Simplify right side
    15,428.96x = 174,098,474.52
  5. Step 5: Solve for x
    x = 174,098,474.52/15,428.96
  6. Step 6: Final answer
    x = 11,283.88

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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.