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Finding the Fourth Proportional to 1,371.81, 1,893.17 and 1,076.57

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Solution

The fourth proportional to 1,371.81, 1,893.17 and 1,076.57 is: 1,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.81 : 1,893.17 = 1,076.57 : x
  2. Step 2: Convert to fraction form
    1,371.81/1,893.17 = 1,076.57/x
  3. Step 3: Cross multiply
    1,371.81x = 1,893.17 × 1,076.57
  4. Step 4: Simplify right side
    1,371.81x = 2,038,125.03
  5. Step 5: Solve for x
    x = 2,038,125.03/1,371.81
  6. Step 6: Final answer
    x = 1,485.72

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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.