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Finding the Fourth Proportional to 12,800.62, 17,665.89 and 7,137.21

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Solution

The fourth proportional to 12,800.62, 17,665.89 and 7,137.21 is: 9,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.62 : 17,665.89 = 7,137.21 : x
  2. Step 2: Convert to fraction form
    12,800.62/17,665.89 = 7,137.21/x
  3. Step 3: Cross multiply
    12,800.62x = 17,665.89 × 7,137.21
  4. Step 4: Simplify right side
    12,800.62x = 126,085,042.75
  5. Step 5: Solve for x
    x = 126,085,042.75/12,800.62
  6. Step 6: Final answer
    x = 9,849.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.