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Finding the Fourth Proportional to 2,871.59, 4,306.14 and 896.76

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Solution

The fourth proportional to 2,871.59, 4,306.14 and 896.76 is: 1,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.59 : 4,306.14 = 896.76 : x
  2. Step 2: Convert to fraction form
    2,871.59/4,306.14 = 896.76/x
  3. Step 3: Cross multiply
    2,871.59x = 4,306.14 × 896.76
  4. Step 4: Simplify right side
    2,871.59x = 3,861,574.11
  5. Step 5: Solve for x
    x = 3,861,574.11/2,871.59
  6. Step 6: Final answer
    x = 1,344.75

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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.