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Finding the Fourth Proportional to 2,154.25, 3,231.96 and 615.25

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Solution

The fourth proportional to 2,154.25, 3,231.96 and 615.25 is: 923.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.25 : 3,231.96 = 615.25 : x
  2. Step 2: Convert to fraction form
    2,154.25/3,231.96 = 615.25/x
  3. Step 3: Cross multiply
    2,154.25x = 3,231.96 × 615.25
  4. Step 4: Simplify right side
    2,154.25x = 1,988,463.39
  5. Step 5: Solve for x
    x = 1,988,463.39/2,154.25
  6. Step 6: Final answer
    x = 923.04

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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.