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Finding the Fourth Proportional to 7,209.86, 9,949.20 and 4,065.86

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Solution

The fourth proportional to 7,209.86, 9,949.20 and 4,065.86 is: 5,610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.86 : 9,949.20 = 4,065.86 : x
  2. Step 2: Convert to fraction form
    7,209.86/9,949.20 = 4,065.86/x
  3. Step 3: Cross multiply
    7,209.86x = 9,949.20 × 4,065.86
  4. Step 4: Simplify right side
    7,209.86x = 40,452,054.31
  5. Step 5: Solve for x
    x = 40,452,054.31/7,209.86
  6. Step 6: Final answer
    x = 5,610.66

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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.