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Finding the Fourth Proportional to 2,155.71, 3,233.56 and 574.43

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Solution

The fourth proportional to 2,155.71, 3,233.56 and 574.43 is: 861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.71 : 3,233.56 = 574.43 : x
  2. Step 2: Convert to fraction form
    2,155.71/3,233.56 = 574.43/x
  3. Step 3: Cross multiply
    2,155.71x = 3,233.56 × 574.43
  4. Step 4: Simplify right side
    2,155.71x = 1,857,442.96
  5. Step 5: Solve for x
    x = 1,857,442.96/2,155.71
  6. Step 6: Final answer
    x = 861.64

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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.