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Finding the Fourth Proportional to 5,781.38, 7,981.74 and 4,381.70

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Solution

The fourth proportional to 5,781.38, 7,981.74 and 4,381.70 is: 6,049.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.38 : 7,981.74 = 4,381.70 : x
  2. Step 2: Convert to fraction form
    5,781.38/7,981.74 = 4,381.70/x
  3. Step 3: Cross multiply
    5,781.38x = 7,981.74 × 4,381.70
  4. Step 4: Simplify right side
    5,781.38x = 34,973,550.25
  5. Step 5: Solve for x
    x = 34,973,550.25/5,781.38
  6. Step 6: Final answer
    x = 6,049.35

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1.5x scale

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.