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Finding the Fourth Proportional to 5,663.28, 8,495.46 and 1,964.64

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Solution

The fourth proportional to 5,663.28, 8,495.46 and 1,964.64 is: 2,947.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.28 : 8,495.46 = 1,964.64 : x
  2. Step 2: Convert to fraction form
    5,663.28/8,495.46 = 1,964.64/x
  3. Step 3: Cross multiply
    5,663.28x = 8,495.46 × 1,964.64
  4. Step 4: Simplify right side
    5,663.28x = 16,690,520.53
  5. Step 5: Solve for x
    x = 16,690,520.53/5,663.28
  6. Step 6: Final answer
    x = 2,947.15

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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.