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Finding the Fourth Proportional to 2,981.87, 4,472.97 and 901.83

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Solution

The fourth proportional to 2,981.87, 4,472.97 and 901.83 is: 1,352.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.87 : 4,472.97 = 901.83 : x
  2. Step 2: Convert to fraction form
    2,981.87/4,472.97 = 901.83/x
  3. Step 3: Cross multiply
    2,981.87x = 4,472.97 × 901.83
  4. Step 4: Simplify right side
    2,981.87x = 4,033,850.73
  5. Step 5: Solve for x
    x = 4,033,850.73/2,981.87
  6. Step 6: Final answer
    x = 1,352.79

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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.