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Finding the Fourth Proportional to 7,177.76, 10,771.90 and 4,711.71

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Solution

The fourth proportional to 7,177.76, 10,771.90 and 4,711.71 is: 7,071.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.76 : 10,771.90 = 4,711.71 : x
  2. Step 2: Convert to fraction form
    7,177.76/10,771.90 = 4,711.71/x
  3. Step 3: Cross multiply
    7,177.76x = 10,771.90 × 4,711.71
  4. Step 4: Simplify right side
    7,177.76x = 50,754,057.17
  5. Step 5: Solve for x
    x = 50,754,057.17/7,177.76
  6. Step 6: Final answer
    x = 7,071.02

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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.