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Finding the Fourth Proportional to 12,718.80, 17,552.40 and 7,412.76

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Solution

The fourth proportional to 12,718.80, 17,552.40 and 7,412.76 is: 10,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718.80 : 17,552.40 = 7,412.76 : x
  2. Step 2: Convert to fraction form
    12,718.80/17,552.40 = 7,412.76/x
  3. Step 3: Cross multiply
    12,718.80x = 17,552.40 × 7,412.76
  4. Step 4: Simplify right side
    12,718.80x = 130,111,728.62
  5. Step 5: Solve for x
    x = 130,111,728.62/12,718.80
  6. Step 6: Final answer
    x = 10,229.87

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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.