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Finding the Fourth Proportional to 3,428.41, 5,141.85 and 963.48

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Solution

The fourth proportional to 3,428.41, 5,141.85 and 963.48 is: 1,445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.41 : 5,141.85 = 963.48 : x
  2. Step 2: Convert to fraction form
    3,428.41/5,141.85 = 963.48/x
  3. Step 3: Cross multiply
    3,428.41x = 5,141.85 × 963.48
  4. Step 4: Simplify right side
    3,428.41x = 4,954,043.93
  5. Step 5: Solve for x
    x = 4,954,043.93/3,428.41
  6. Step 6: Final answer
    x = 1,445.00

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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.