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Finding the Fourth Proportional to 5,663, 7,815.34 and 3,179

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Solution

The fourth proportional to 5,663, 7,815.34 and 3,179 is: 4,387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663 : 7,815.34 = 3,179 : x
  2. Step 2: Convert to fraction form
    5,663/7,815.34 = 3,179/x
  3. Step 3: Cross multiply
    5,663x = 7,815.34 × 3,179
  4. Step 4: Simplify right side
    5,663x = 24,844,965.86
  5. Step 5: Solve for x
    x = 24,844,965.86/5,663
  6. Step 6: Final answer
    x = 4,387.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.