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Finding the Fourth Proportional to 9,380.80, 12,945.18 and 5,188.78

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Solution

The fourth proportional to 9,380.80, 12,945.18 and 5,188.78 is: 7,160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.80 : 12,945.18 = 5,188.78 : x
  2. Step 2: Convert to fraction form
    9,380.80/12,945.18 = 5,188.78/x
  3. Step 3: Cross multiply
    9,380.80x = 12,945.18 × 5,188.78
  4. Step 4: Simplify right side
    9,380.80x = 67,169,691.08
  5. Step 5: Solve for x
    x = 67,169,691.08/9,380.80
  6. Step 6: Final answer
    x = 7,160.34

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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.