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Finding the Fourth Proportional to 971.88, 1,452.14 and 937.86

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Solution

The fourth proportional to 971.88, 1,452.14 and 937.86 is: 1,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.88 : 1,452.14 = 937.86 : x
  2. Step 2: Convert to fraction form
    971.88/1,452.14 = 937.86/x
  3. Step 3: Cross multiply
    971.88x = 1,452.14 × 937.86
  4. Step 4: Simplify right side
    971.88x = 1,361,899.33
  5. Step 5: Solve for x
    x = 1,361,899.33/971.88
  6. Step 6: Final answer
    x = 1,401.30

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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.