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Finding the Fourth Proportional to 2,877.66, 3,966.90 and 2,246.82

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Solution

The fourth proportional to 2,877.66, 3,966.90 and 2,246.82 is: 3,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.66 : 3,966.90 = 2,246.82 : x
  2. Step 2: Convert to fraction form
    2,877.66/3,966.90 = 2,246.82/x
  3. Step 3: Cross multiply
    2,877.66x = 3,966.90 × 2,246.82
  4. Step 4: Simplify right side
    2,877.66x = 8,912,910.26
  5. Step 5: Solve for x
    x = 8,912,910.26/2,877.66
  6. Step 6: Final answer
    x = 3,097.28

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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.