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Finding the Fourth Proportional to 3,634.14, 5,451.20 and 898.14

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Solution

The fourth proportional to 3,634.14, 5,451.20 and 898.14 is: 1,347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.14 : 5,451.20 = 898.14 : x
  2. Step 2: Convert to fraction form
    3,634.14/5,451.20 = 898.14/x
  3. Step 3: Cross multiply
    3,634.14x = 5,451.20 × 898.14
  4. Step 4: Simplify right side
    3,634.14x = 4,895,940.77
  5. Step 5: Solve for x
    x = 4,895,940.77/3,634.14
  6. Step 6: Final answer
    x = 1,347.21

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Similar ratio
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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.