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Finding the Fourth Proportional to 3,155.52, 4,743.96 and 2,543.52

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Solution

The fourth proportional to 3,155.52, 4,743.96 and 2,543.52 is: 3,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.52 : 4,743.96 = 2,543.52 : x
  2. Step 2: Convert to fraction form
    3,155.52/4,743.96 = 2,543.52/x
  3. Step 3: Cross multiply
    3,155.52x = 4,743.96 × 2,543.52
  4. Step 4: Simplify right side
    3,155.52x = 12,066,357.14
  5. Step 5: Solve for x
    x = 12,066,357.14/3,155.52
  6. Step 6: Final answer
    x = 3,823.89

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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.