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Finding the Fourth Proportional to 6,500.88, 9,747.65 and 3,869.19

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Solution

The fourth proportional to 6,500.88, 9,747.65 and 3,869.19 is: 5,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.88 : 9,747.65 = 3,869.19 : x
  2. Step 2: Convert to fraction form
    6,500.88/9,747.65 = 3,869.19/x
  3. Step 3: Cross multiply
    6,500.88x = 9,747.65 × 3,869.19
  4. Step 4: Simplify right side
    6,500.88x = 37,715,490.56
  5. Step 5: Solve for x
    x = 37,715,490.56/6,500.88
  6. Step 6: Final answer
    x = 5,801.60

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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.