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Finding the Fourth Proportional to 12,763.76, 17,614.76 and 7,175.12

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Solution

The fourth proportional to 12,763.76, 17,614.76 and 7,175.12 is: 9,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.76 : 17,614.76 = 7,175.12 : x
  2. Step 2: Convert to fraction form
    12,763.76/17,614.76 = 7,175.12/x
  3. Step 3: Cross multiply
    12,763.76x = 17,614.76 × 7,175.12
  4. Step 4: Simplify right side
    12,763.76x = 126,388,016.77
  5. Step 5: Solve for x
    x = 126,388,016.77/12,763.76
  6. Step 6: Final answer
    x = 9,902.10

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Half scale
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Double scale
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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.