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Finding the Fourth Proportional to 2,747.58, 4,121.88 and 898.79

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Solution

The fourth proportional to 2,747.58, 4,121.88 and 898.79 is: 1,348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.58 : 4,121.88 = 898.79 : x
  2. Step 2: Convert to fraction form
    2,747.58/4,121.88 = 898.79/x
  3. Step 3: Cross multiply
    2,747.58x = 4,121.88 × 898.79
  4. Step 4: Simplify right side
    2,747.58x = 3,704,713.99
  5. Step 5: Solve for x
    x = 3,704,713.99/2,747.58
  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.