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Finding the Fourth Proportional to 6,651.80, 9,978.01 and 2,269.30

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Solution

The fourth proportional to 6,651.80, 9,978.01 and 2,269.30 is: 3,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.80 : 9,978.01 = 2,269.30 : x
  2. Step 2: Convert to fraction form
    6,651.80/9,978.01 = 2,269.30/x
  3. Step 3: Cross multiply
    6,651.80x = 9,978.01 × 2,269.30
  4. Step 4: Simplify right side
    6,651.80x = 22,643,067.47
  5. Step 5: Solve for x
    x = 22,643,067.47/6,651.80
  6. Step 6: Final answer
    x = 3,404.05

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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.