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Finding the Fourth Proportional to 3,428.35, 5,141.72 and 963.40

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Solution

The fourth proportional to 3,428.35, 5,141.72 and 963.40 is: 1,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.35 : 5,141.72 = 963.40 : x
  2. Step 2: Convert to fraction form
    3,428.35/5,141.72 = 963.40/x
  3. Step 3: Cross multiply
    3,428.35x = 5,141.72 × 963.40
  4. Step 4: Simplify right side
    3,428.35x = 4,953,528.23
  5. Step 5: Solve for x
    x = 4,953,528.23/3,428.35
  6. Step 6: Final answer
    x = 1,444.87

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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.