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Finding the Fourth Proportional to 5,781.12, 7,982.38 and 4,792.11

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Solution

The fourth proportional to 5,781.12, 7,982.38 and 4,792.11 is: 6,616.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.12 : 7,982.38 = 4,792.11 : x
  2. Step 2: Convert to fraction form
    5,781.12/7,982.38 = 4,792.11/x
  3. Step 3: Cross multiply
    5,781.12x = 7,982.38 × 4,792.11
  4. Step 4: Simplify right side
    5,781.12x = 38,252,443.02
  5. Step 5: Solve for x
    x = 38,252,443.02/5,781.12
  6. Step 6: Final answer
    x = 6,616.79

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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.