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Finding the Fourth Proportional to 2,981.71, 4,474.00 and 1,227.99

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Solution

The fourth proportional to 2,981.71, 4,474.00 and 1,227.99 is: 1,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.71 : 4,474.00 = 1,227.99 : x
  2. Step 2: Convert to fraction form
    2,981.71/4,474.00 = 1,227.99/x
  3. Step 3: Cross multiply
    2,981.71x = 4,474.00 × 1,227.99
  4. Step 4: Simplify right side
    2,981.71x = 5,494,045.57
  5. Step 5: Solve for x
    x = 5,494,045.57/2,981.71
  6. Step 6: Final answer
    x = 1,842.58

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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.