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Finding the Fourth Proportional to 15,931.68, 23,892 and 5,541.12

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Solution

The fourth proportional to 15,931.68, 23,892 and 5,541.12 is: 8,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,931.68 : 23,892 = 5,541.12 : x
  2. Step 2: Convert to fraction form
    15,931.68/23,892 = 5,541.12/x
  3. Step 3: Cross multiply
    15,931.68x = 23,892 × 5,541.12
  4. Step 4: Simplify right side
    15,931.68x = 132,388,439.04
  5. Step 5: Solve for x
    x = 132,388,439.04/15,931.68
  6. Step 6: Final answer
    x = 8,309.76

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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.