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Finding the Fourth Proportional to 15,978.24, 23,951.88 and 6,109.92

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Solution

The fourth proportional to 15,978.24, 23,951.88 and 6,109.92 is: 9,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.24 : 23,951.88 = 6,109.92 : x
  2. Step 2: Convert to fraction form
    15,978.24/23,951.88 = 6,109.92/x
  3. Step 3: Cross multiply
    15,978.24x = 23,951.88 × 6,109.92
  4. Step 4: Simplify right side
    15,978.24x = 146,344,070.65
  5. Step 5: Solve for x
    x = 146,344,070.65/15,978.24
  6. Step 6: Final answer
    x = 9,158.96

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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.