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Finding the Fourth Proportional to 2,154.41, 3,231.55 and 615.41

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Solution

The fourth proportional to 2,154.41, 3,231.55 and 615.41 is: 923.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.41 : 3,231.55 = 615.41 : x
  2. Step 2: Convert to fraction form
    2,154.41/3,231.55 = 615.41/x
  3. Step 3: Cross multiply
    2,154.41x = 3,231.55 × 615.41
  4. Step 4: Simplify right side
    2,154.41x = 1,988,731.84
  5. Step 5: Solve for x
    x = 1,988,731.84/2,154.41
  6. Step 6: Final answer
    x = 923.10

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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.