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Finding the Fourth Proportional to 1,247.03, 1,862.97 and 892.82

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Solution

The fourth proportional to 1,247.03, 1,862.97 and 892.82 is: 1,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.03 : 1,862.97 = 892.82 : x
  2. Step 2: Convert to fraction form
    1,247.03/1,862.97 = 892.82/x
  3. Step 3: Cross multiply
    1,247.03x = 1,862.97 × 892.82
  4. Step 4: Simplify right side
    1,247.03x = 1,663,298.18
  5. Step 5: Solve for x
    x = 1,663,298.18/1,247.03
  6. Step 6: Final answer
    x = 1,333.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.