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Finding the Fourth Proportional to 3,428.84, 5,142.47 and 963.90

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Solution

The fourth proportional to 3,428.84, 5,142.47 and 963.90 is: 1,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.84 : 5,142.47 = 963.90 : x
  2. Step 2: Convert to fraction form
    3,428.84/5,142.47 = 963.90/x
  3. Step 3: Cross multiply
    3,428.84x = 5,142.47 × 963.90
  4. Step 4: Simplify right side
    3,428.84x = 4,956,822.01
  5. Step 5: Solve for x
    x = 4,956,822.01/3,428.84
  6. Step 6: Final answer
    x = 1,445.63

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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.