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Finding the Fourth Proportional to 15,479.92, 23,154 and 9,225.64

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Solution

The fourth proportional to 15,479.92, 23,154 and 9,225.64 is: 13,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,479.92 : 23,154 = 9,225.64 : x
  2. Step 2: Convert to fraction form
    15,479.92/23,154 = 9,225.64/x
  3. Step 3: Cross multiply
    15,479.92x = 23,154 × 9,225.64
  4. Step 4: Simplify right side
    15,479.92x = 213,610,468.56
  5. Step 5: Solve for x
    x = 213,610,468.56/15,479.92
  6. Step 6: Final answer
    x = 13,799.20

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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.