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Finding the Fourth Proportional to 7,930.68, 11,951.76 and 7,141.01

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Solution

The fourth proportional to 7,930.68, 11,951.76 and 7,141.01 is: 10,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.68 : 11,951.76 = 7,141.01 : x
  2. Step 2: Convert to fraction form
    7,930.68/11,951.76 = 7,141.01/x
  3. Step 3: Cross multiply
    7,930.68x = 11,951.76 × 7,141.01
  4. Step 4: Simplify right side
    7,930.68x = 85,347,564.53
  5. Step 5: Solve for x
    x = 85,347,564.53/7,930.68
  6. Step 6: Final answer
    x = 10,761.70

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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.