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Finding the Fourth Proportional to 1,372.38, 1,887.90 and 1,203.57

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Solution

The fourth proportional to 1,372.38, 1,887.90 and 1,203.57 is: 1,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.38 : 1,887.90 = 1,203.57 : x
  2. Step 2: Convert to fraction form
    1,372.38/1,887.90 = 1,203.57/x
  3. Step 3: Cross multiply
    1,372.38x = 1,887.90 × 1,203.57
  4. Step 4: Simplify right side
    1,372.38x = 2,272,227.53
  5. Step 5: Solve for x
    x = 2,272,227.53/1,372.38
  6. Step 6: Final answer
    x = 1,655.68

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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.