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Finding the Fourth Proportional to 8,167.97, 12,235.91 and 5,386.16

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Solution

The fourth proportional to 8,167.97, 12,235.91 and 5,386.16 is: 8,068.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.97 : 12,235.91 = 5,386.16 : x
  2. Step 2: Convert to fraction form
    8,167.97/12,235.91 = 5,386.16/x
  3. Step 3: Cross multiply
    8,167.97x = 12,235.91 × 5,386.16
  4. Step 4: Simplify right side
    8,167.97x = 65,904,572.66
  5. Step 5: Solve for x
    x = 65,904,572.66/8,167.97
  6. Step 6: Final answer
    x = 8,068.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.