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Finding the Fourth Proportional to 7,074.06, 9,761.70 and 3,930

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Solution

The fourth proportional to 7,074.06, 9,761.70 and 3,930 is: 5,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.06 : 9,761.70 = 3,930 : x
  2. Step 2: Convert to fraction form
    7,074.06/9,761.70 = 3,930/x
  3. Step 3: Cross multiply
    7,074.06x = 9,761.70 × 3,930
  4. Step 4: Simplify right side
    7,074.06x = 38,363,481
  5. Step 5: Solve for x
    x = 38,363,481/7,074.06
  6. Step 6: Final answer
    x = 5,423.12

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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.