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Finding the Fourth Proportional to 2,872.55, 4,308.97 and 898.44

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Solution

The fourth proportional to 2,872.55, 4,308.97 and 898.44 is: 1,347.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.55 : 4,308.97 = 898.44 : x
  2. Step 2: Convert to fraction form
    2,872.55/4,308.97 = 898.44/x
  3. Step 3: Cross multiply
    2,872.55x = 4,308.97 × 898.44
  4. Step 4: Simplify right side
    2,872.55x = 3,871,348.76
  5. Step 5: Solve for x
    x = 3,871,348.76/2,872.55
  6. Step 6: Final answer
    x = 1,347.71

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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.