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Finding the Fourth Proportional to 7,073.64, 9,761.82 and 3,930.02

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Solution

The fourth proportional to 7,073.64, 9,761.82 and 3,930.02 is: 5,423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.64 : 9,761.82 = 3,930.02 : x
  2. Step 2: Convert to fraction form
    7,073.64/9,761.82 = 3,930.02/x
  3. Step 3: Cross multiply
    7,073.64x = 9,761.82 × 3,930.02
  4. Step 4: Simplify right side
    7,073.64x = 38,364,147.84
  5. Step 5: Solve for x
    x = 38,364,147.84/7,073.64
  6. Step 6: Final answer
    x = 5,423.54

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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.