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Finding the Fourth Proportional to 2,787.74, 3,842.07 and 2,288.78

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Solution

The fourth proportional to 2,787.74, 3,842.07 and 2,288.78 is: 3,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.74 : 3,842.07 = 2,288.78 : x
  2. Step 2: Convert to fraction form
    2,787.74/3,842.07 = 2,288.78/x
  3. Step 3: Cross multiply
    2,787.74x = 3,842.07 × 2,288.78
  4. Step 4: Simplify right side
    2,787.74x = 8,793,633.76
  5. Step 5: Solve for x
    x = 8,793,633.76/2,787.74
  6. Step 6: Final answer
    x = 3,154.40

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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.