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Finding the Fourth Proportional to 9,377.97, 13,987.46 and 7,906.90

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Solution

The fourth proportional to 9,377.97, 13,987.46 and 7,906.90 is: 11,793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.97 : 13,987.46 = 7,906.90 : x
  2. Step 2: Convert to fraction form
    9,377.97/13,987.46 = 7,906.90/x
  3. Step 3: Cross multiply
    9,377.97x = 13,987.46 × 7,906.90
  4. Step 4: Simplify right side
    9,377.97x = 110,597,447.47
  5. Step 5: Solve for x
    x = 110,597,447.47/9,377.97
  6. Step 6: Final answer
    x = 11,793.32

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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.