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Finding the Fourth Proportional to 1,549.28, 2,137.97 and 886.11

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Solution

The fourth proportional to 1,549.28, 2,137.97 and 886.11 is: 1,222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.28 : 2,137.97 = 886.11 : x
  2. Step 2: Convert to fraction form
    1,549.28/2,137.97 = 886.11/x
  3. Step 3: Cross multiply
    1,549.28x = 2,137.97 × 886.11
  4. Step 4: Simplify right side
    1,549.28x = 1,894,472.17
  5. Step 5: Solve for x
    x = 1,894,472.17/1,549.28
  6. Step 6: Final answer
    x = 1,222.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.