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Finding the Fourth Proportional to 12,666.20, 17,480.03 and 7,631.96

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Solution

The fourth proportional to 12,666.20, 17,480.03 and 7,631.96 is: 10,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.20 : 17,480.03 = 7,631.96 : x
  2. Step 2: Convert to fraction form
    12,666.20/17,480.03 = 7,631.96/x
  3. Step 3: Cross multiply
    12,666.20x = 17,480.03 × 7,631.96
  4. Step 4: Simplify right side
    12,666.20x = 133,406,764.20
  5. Step 5: Solve for x
    x = 133,406,764.20/12,666.20
  6. Step 6: Final answer
    x = 10,532.51

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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.