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Finding the Fourth Proportional to 2,155.90, 3,232.68 and 922.54

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Solution

The fourth proportional to 2,155.90, 3,232.68 and 922.54 is: 1,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.90 : 3,232.68 = 922.54 : x
  2. Step 2: Convert to fraction form
    2,155.90/3,232.68 = 922.54/x
  3. Step 3: Cross multiply
    2,155.90x = 3,232.68 × 922.54
  4. Step 4: Simplify right side
    2,155.90x = 2,982,276.61
  5. Step 5: Solve for x
    x = 2,982,276.61/2,155.90
  6. Step 6: Final answer
    x = 1,383.31

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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.