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Finding the Fourth Proportional to 3,854.57, 5,781.86 and 2,209.99

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Solution

The fourth proportional to 3,854.57, 5,781.86 and 2,209.99 is: 3,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.57 : 5,781.86 = 2,209.99 : x
  2. Step 2: Convert to fraction form
    3,854.57/5,781.86 = 2,209.99/x
  3. Step 3: Cross multiply
    3,854.57x = 5,781.86 × 2,209.99
  4. Step 4: Simplify right side
    3,854.57x = 12,777,852.78
  5. Step 5: Solve for x
    x = 12,777,852.78/3,854.57
  6. Step 6: Final answer
    x = 3,314.99

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1.5x scale

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.