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Finding the Fourth Proportional to 2,529.15, 3,793.92 and 969.90

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Solution

The fourth proportional to 2,529.15, 3,793.92 and 969.90 is: 1,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.15 : 3,793.92 = 969.90 : x
  2. Step 2: Convert to fraction form
    2,529.15/3,793.92 = 969.90/x
  3. Step 3: Cross multiply
    2,529.15x = 3,793.92 × 969.90
  4. Step 4: Simplify right side
    2,529.15x = 3,679,723.01
  5. Step 5: Solve for x
    x = 3,679,723.01/2,529.15
  6. Step 6: Final answer
    x = 1,454.92

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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.