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Finding the Fourth Proportional to 8,691, 12,924.69 and 8,414.21

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Solution

The fourth proportional to 8,691, 12,924.69 and 8,414.21 is: 12,513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691 : 12,924.69 = 8,414.21 : x
  2. Step 2: Convert to fraction form
    8,691/12,924.69 = 8,414.21/x
  3. Step 3: Cross multiply
    8,691x = 12,924.69 × 8,414.21
  4. Step 4: Simplify right side
    8,691x = 108,750,991.22
  5. Step 5: Solve for x
    x = 108,750,991.22/8,691
  6. Step 6: Final answer
    x = 12,513.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.