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Finding the Fourth Proportional to 2,543.20, 3,814.80 and 898.85

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Solution

The fourth proportional to 2,543.20, 3,814.80 and 898.85 is: 1,348.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.20 : 3,814.80 = 898.85 : x
  2. Step 2: Convert to fraction form
    2,543.20/3,814.80 = 898.85/x
  3. Step 3: Cross multiply
    2,543.20x = 3,814.80 × 898.85
  4. Step 4: Simplify right side
    2,543.20x = 3,428,932.98
  5. Step 5: Solve for x
    x = 3,428,932.98/2,543.20
  6. Step 6: Final answer
    x = 1,348.28

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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.