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Finding the Fourth Proportional to 15,817.68, 23,728.95 and 5,427

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Solution

The fourth proportional to 15,817.68, 23,728.95 and 5,427 is: 8,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.68 : 23,728.95 = 5,427 : x
  2. Step 2: Convert to fraction form
    15,817.68/23,728.95 = 5,427/x
  3. Step 3: Cross multiply
    15,817.68x = 23,728.95 × 5,427
  4. Step 4: Simplify right side
    15,817.68x = 128,777,011.65
  5. Step 5: Solve for x
    x = 128,777,011.65/15,817.68
  6. Step 6: Final answer
    x = 8,141.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.