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Finding the Fourth Proportional to 12,497.62, 18,751.30 and 4,711.90

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Solution

The fourth proportional to 12,497.62, 18,751.30 and 4,711.90 is: 7,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.62 : 18,751.30 = 4,711.90 : x
  2. Step 2: Convert to fraction form
    12,497.62/18,751.30 = 4,711.90/x
  3. Step 3: Cross multiply
    12,497.62x = 18,751.30 × 4,711.90
  4. Step 4: Simplify right side
    12,497.62x = 88,354,250.47
  5. Step 5: Solve for x
    x = 88,354,250.47/12,497.62
  6. Step 6: Final answer
    x = 7,069.69

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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.