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Finding the Fourth Proportional to 6,340.80, 9,500.40 and 5,239.20

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Solution

The fourth proportional to 6,340.80, 9,500.40 and 5,239.20 is: 7,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.80 : 9,500.40 = 5,239.20 : x
  2. Step 2: Convert to fraction form
    6,340.80/9,500.40 = 5,239.20/x
  3. Step 3: Cross multiply
    6,340.80x = 9,500.40 × 5,239.20
  4. Step 4: Simplify right side
    6,340.80x = 49,774,495.68
  5. Step 5: Solve for x
    x = 49,774,495.68/6,340.80
  6. Step 6: Final answer
    x = 7,849.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.