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Finding the Fourth Proportional to 2,543.90, 3,815.22 and 694.92

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Solution

The fourth proportional to 2,543.90, 3,815.22 and 694.92 is: 1,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.90 : 3,815.22 = 694.92 : x
  2. Step 2: Convert to fraction form
    2,543.90/3,815.22 = 694.92/x
  3. Step 3: Cross multiply
    2,543.90x = 3,815.22 × 694.92
  4. Step 4: Simplify right side
    2,543.90x = 2,651,272.68
  5. Step 5: Solve for x
    x = 2,651,272.68/2,543.90
  6. Step 6: Final answer
    x = 1,042.21

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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.