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Finding the Fourth Proportional to 15,540, 23,310.08 and 5,151.75

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Solution

The fourth proportional to 15,540, 23,310.08 and 5,151.75 is: 7,727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,540 : 23,310.08 = 5,151.75 : x
  2. Step 2: Convert to fraction form
    15,540/23,310.08 = 5,151.75/x
  3. Step 3: Cross multiply
    15,540x = 23,310.08 × 5,151.75
  4. Step 4: Simplify right side
    15,540x = 120,087,678.88
  5. Step 5: Solve for x
    x = 120,087,678.88/15,540
  6. Step 6: Final answer
    x = 7,727.65

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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.