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Finding the Fourth Proportional to 12,428.76, 17,147.04 and 7,393.16

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Solution

The fourth proportional to 12,428.76, 17,147.04 and 7,393.16 is: 10,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428.76 : 17,147.04 = 7,393.16 : x
  2. Step 2: Convert to fraction form
    12,428.76/17,147.04 = 7,393.16/x
  3. Step 3: Cross multiply
    12,428.76x = 17,147.04 × 7,393.16
  4. Step 4: Simplify right side
    12,428.76x = 126,770,810.25
  5. Step 5: Solve for x
    x = 126,770,810.25/12,428.76
  6. Step 6: Final answer
    x = 10,199.80

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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.