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Finding the Fourth Proportional to 2,727.52, 4,091.84 and 878.88

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Solution

The fourth proportional to 2,727.52, 4,091.84 and 878.88 is: 1,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.52 : 4,091.84 = 878.88 : x
  2. Step 2: Convert to fraction form
    2,727.52/4,091.84 = 878.88/x
  3. Step 3: Cross multiply
    2,727.52x = 4,091.84 × 878.88
  4. Step 4: Simplify right side
    2,727.52x = 3,596,236.34
  5. Step 5: Solve for x
    x = 3,596,236.34/2,727.52
  6. Step 6: Final answer
    x = 1,318.50

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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.