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Finding the Fourth Proportional to 1,371.38, 1,892.50 and 750.38

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Solution

The fourth proportional to 1,371.38, 1,892.50 and 750.38 is: 1,035.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.38 : 1,892.50 = 750.38 : x
  2. Step 2: Convert to fraction form
    1,371.38/1,892.50 = 750.38/x
  3. Step 3: Cross multiply
    1,371.38x = 1,892.50 × 750.38
  4. Step 4: Simplify right side
    1,371.38x = 1,420,082.81
  5. Step 5: Solve for x
    x = 1,420,082.81/1,371.38
  6. Step 6: Final answer
    x = 1,035.52

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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.