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Finding the Fourth Proportional to 2,154.36, 3,231.54 and 615.36

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Solution

The fourth proportional to 2,154.36, 3,231.54 and 615.36 is: 923.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.36 : 3,231.54 = 615.36 : x
  2. Step 2: Convert to fraction form
    2,154.36/3,231.54 = 615.36/x
  3. Step 3: Cross multiply
    2,154.36x = 3,231.54 × 615.36
  4. Step 4: Simplify right side
    2,154.36x = 1,988,560.45
  5. Step 5: Solve for x
    x = 1,988,560.45/2,154.36
  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.