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Finding the Fourth Proportional to 8,874.63, 13,311.14 and 8,178.57

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Solution

The fourth proportional to 8,874.63, 13,311.14 and 8,178.57 is: 12,267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,874.63 : 13,311.14 = 8,178.57 : x
  2. Step 2: Convert to fraction form
    8,874.63/13,311.14 = 8,178.57/x
  3. Step 3: Cross multiply
    8,874.63x = 13,311.14 × 8,178.57
  4. Step 4: Simplify right side
    8,874.63x = 108,866,049.38
  5. Step 5: Solve for x
    x = 108,866,049.38/8,874.63
  6. Step 6: Final answer
    x = 12,267.11

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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.