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Finding the Fourth Proportional to 3,744.88, 5,617.30 and 971.32

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Solution

The fourth proportional to 3,744.88, 5,617.30 and 971.32 is: 1,456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.88 : 5,617.30 = 971.32 : x
  2. Step 2: Convert to fraction form
    3,744.88/5,617.30 = 971.32/x
  3. Step 3: Cross multiply
    3,744.88x = 5,617.30 × 971.32
  4. Step 4: Simplify right side
    3,744.88x = 5,456,195.84
  5. Step 5: Solve for x
    x = 5,456,195.84/3,744.88
  6. Step 6: Final answer
    x = 1,456.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.