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Finding the Fourth Proportional to 2,451.89, 3,677.84 and 696.92

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Solution

The fourth proportional to 2,451.89, 3,677.84 and 696.92 is: 1,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.89 : 3,677.84 = 696.92 : x
  2. Step 2: Convert to fraction form
    2,451.89/3,677.84 = 696.92/x
  3. Step 3: Cross multiply
    2,451.89x = 3,677.84 × 696.92
  4. Step 4: Simplify right side
    2,451.89x = 2,563,160.25
  5. Step 5: Solve for x
    x = 2,563,160.25/2,451.89
  6. Step 6: Final answer
    x = 1,045.38

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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.