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Finding the Fourth Proportional to 8,177.32, 12,320.62 and 7,398.31

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Solution

The fourth proportional to 8,177.32, 12,320.62 and 7,398.31 is: 11,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.32 : 12,320.62 = 7,398.31 : x
  2. Step 2: Convert to fraction form
    8,177.32/12,320.62 = 7,398.31/x
  3. Step 3: Cross multiply
    8,177.32x = 12,320.62 × 7,398.31
  4. Step 4: Simplify right side
    8,177.32x = 91,151,766.15
  5. Step 5: Solve for x
    x = 91,151,766.15/8,177.32
  6. Step 6: Final answer
    x = 11,146.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.