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Finding the Fourth Proportional to 7,049.74, 9,729.68 and 4,065

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Solution

The fourth proportional to 7,049.74, 9,729.68 and 4,065 is: 5,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.74 : 9,729.68 = 4,065 : x
  2. Step 2: Convert to fraction form
    7,049.74/9,729.68 = 4,065/x
  3. Step 3: Cross multiply
    7,049.74x = 9,729.68 × 4,065
  4. Step 4: Simplify right side
    7,049.74x = 39,551,149.20
  5. Step 5: Solve for x
    x = 39,551,149.20/7,049.74
  6. Step 6: Final answer
    x = 5,610.30

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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.