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Finding the Fourth Proportional to 6,633.87, 9,942.80 and 2,931.90

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Solution

The fourth proportional to 6,633.87, 9,942.80 and 2,931.90 is: 4,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.87 : 9,942.80 = 2,931.90 : x
  2. Step 2: Convert to fraction form
    6,633.87/9,942.80 = 2,931.90/x
  3. Step 3: Cross multiply
    6,633.87x = 9,942.80 × 2,931.90
  4. Step 4: Simplify right side
    6,633.87x = 29,151,280.66
  5. Step 5: Solve for x
    x = 29,151,280.66/6,633.87
  6. Step 6: Final answer
    x = 4,394.31

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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.