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Finding the Fourth Proportional to 2,781.71, 3,834.67 and 2,117.41

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Solution

The fourth proportional to 2,781.71, 3,834.67 and 2,117.41 is: 2,918.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.71 : 3,834.67 = 2,117.41 : x
  2. Step 2: Convert to fraction form
    2,781.71/3,834.67 = 2,117.41/x
  3. Step 3: Cross multiply
    2,781.71x = 3,834.67 × 2,117.41
  4. Step 4: Simplify right side
    2,781.71x = 8,119,568.60
  5. Step 5: Solve for x
    x = 8,119,568.60/2,781.71
  6. Step 6: Final answer
    x = 2,918.91

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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.