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Finding the Fourth Proportional to 2,451.98, 3,677.67 and 891.92

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Solution

The fourth proportional to 2,451.98, 3,677.67 and 891.92 is: 1,337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.98 : 3,677.67 = 891.92 : x
  2. Step 2: Convert to fraction form
    2,451.98/3,677.67 = 891.92/x
  3. Step 3: Cross multiply
    2,451.98x = 3,677.67 × 891.92
  4. Step 4: Simplify right side
    2,451.98x = 3,280,198.03
  5. Step 5: Solve for x
    x = 3,280,198.03/2,451.98
  6. Step 6: Final answer
    x = 1,337.77

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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.