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Finding the Fourth Proportional to 2,808.74, 3,876.09 and 1,549.85

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Solution

The fourth proportional to 2,808.74, 3,876.09 and 1,549.85 is: 2,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.74 : 3,876.09 = 1,549.85 : x
  2. Step 2: Convert to fraction form
    2,808.74/3,876.09 = 1,549.85/x
  3. Step 3: Cross multiply
    2,808.74x = 3,876.09 × 1,549.85
  4. Step 4: Simplify right side
    2,808.74x = 6,007,344.52
  5. Step 5: Solve for x
    x = 6,007,344.52/2,808.74
  6. Step 6: Final answer
    x = 2,138.80

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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.