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Finding the Fourth Proportional to 10,954.30, 16,414.65 and 8,167.90

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Solution

The fourth proportional to 10,954.30, 16,414.65 and 8,167.90 is: 12,239.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.30 : 16,414.65 = 8,167.90 : x
  2. Step 2: Convert to fraction form
    10,954.30/16,414.65 = 8,167.90/x
  3. Step 3: Cross multiply
    10,954.30x = 16,414.65 × 8,167.90
  4. Step 4: Simplify right side
    10,954.30x = 134,073,219.74
  5. Step 5: Solve for x
    x = 134,073,219.74/10,954.30
  6. Step 6: Final answer
    x = 12,239.32

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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.