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Finding the Fourth Proportional to 1,371.90, 1,892.31 and 847.26

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Solution

The fourth proportional to 1,371.90, 1,892.31 and 847.26 is: 1,168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.90 : 1,892.31 = 847.26 : x
  2. Step 2: Convert to fraction form
    1,371.90/1,892.31 = 847.26/x
  3. Step 3: Cross multiply
    1,371.90x = 1,892.31 × 847.26
  4. Step 4: Simplify right side
    1,371.90x = 1,603,278.57
  5. Step 5: Solve for x
    x = 1,603,278.57/1,371.90
  6. Step 6: Final answer
    x = 1,168.66

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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.