Home / 2,543.24-3,814.82-1,042.40

Finding the Fourth Proportional to 2,543.24, 3,814.82 and 1,042.40

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Solution

The fourth proportional to 2,543.24, 3,814.82 and 1,042.40 is: 1,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.24 : 3,814.82 = 1,042.40 : x
  2. Step 2: Convert to fraction form
    2,543.24/3,814.82 = 1,042.40/x
  3. Step 3: Cross multiply
    2,543.24x = 3,814.82 × 1,042.40
  4. Step 4: Simplify right side
    2,543.24x = 3,976,544.08
  5. Step 5: Solve for x
    x = 3,976,544.08/2,543.24
  6. Step 6: Final answer
    x = 1,563.58

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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.