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Finding the Fourth Proportional to 7,160.38, 9,881.76 and 4,766.22

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Solution

The fourth proportional to 7,160.38, 9,881.76 and 4,766.22 is: 6,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.38 : 9,881.76 = 4,766.22 : x
  2. Step 2: Convert to fraction form
    7,160.38/9,881.76 = 4,766.22/x
  3. Step 3: Cross multiply
    7,160.38x = 9,881.76 × 4,766.22
  4. Step 4: Simplify right side
    7,160.38x = 47,098,660.02
  5. Step 5: Solve for x
    x = 47,098,660.02/7,160.38
  6. Step 6: Final answer
    x = 6,577.68

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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.