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Finding the Fourth Proportional to 2,542.29, 3,813.50 and 898.89

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Solution

The fourth proportional to 2,542.29, 3,813.50 and 898.89 is: 1,348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.29 : 3,813.50 = 898.89 : x
  2. Step 2: Convert to fraction form
    2,542.29/3,813.50 = 898.89/x
  3. Step 3: Cross multiply
    2,542.29x = 3,813.50 × 898.89
  4. Step 4: Simplify right side
    2,542.29x = 3,427,917.02
  5. Step 5: Solve for x
    x = 3,427,917.02/2,542.29
  6. Step 6: Final answer
    x = 1,348.36

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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.