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Finding the Fourth Proportional to 7,209.77, 9,949.35 and 4,065.96

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Solution

The fourth proportional to 7,209.77, 9,949.35 and 4,065.96 is: 5,610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.77 : 9,949.35 = 4,065.96 : x
  2. Step 2: Convert to fraction form
    7,209.77/9,949.35 = 4,065.96/x
  3. Step 3: Cross multiply
    7,209.77x = 9,949.35 × 4,065.96
  4. Step 4: Simplify right side
    7,209.77x = 40,453,659.13
  5. Step 5: Solve for x
    x = 40,453,659.13/7,209.77
  6. Step 6: Final answer
    x = 5,610.95

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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.