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Finding the Fourth Proportional to 12,684.47, 17,505.92 and 7,382.21

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Solution

The fourth proportional to 12,684.47, 17,505.92 and 7,382.21 is: 10,188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.47 : 17,505.92 = 7,382.21 : x
  2. Step 2: Convert to fraction form
    12,684.47/17,505.92 = 7,382.21/x
  3. Step 3: Cross multiply
    12,684.47x = 17,505.92 × 7,382.21
  4. Step 4: Simplify right side
    12,684.47x = 129,232,308.61
  5. Step 5: Solve for x
    x = 129,232,308.61/12,684.47
  6. Step 6: Final answer
    x = 10,188.23

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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.