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Finding the Fourth Proportional to 2,781.70, 3,830.94 and 2,721.22

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Solution

The fourth proportional to 2,781.70, 3,830.94 and 2,721.22 is: 3,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.70 : 3,830.94 = 2,721.22 : x
  2. Step 2: Convert to fraction form
    2,781.70/3,830.94 = 2,721.22/x
  3. Step 3: Cross multiply
    2,781.70x = 3,830.94 × 2,721.22
  4. Step 4: Simplify right side
    2,781.70x = 10,424,830.55
  5. Step 5: Solve for x
    x = 10,424,830.55/2,781.70
  6. Step 6: Final answer
    x = 3,747.65

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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.