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Finding the Fourth Proportional to 5,179.45, 7,769.17 and 1,283.86

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Solution

The fourth proportional to 5,179.45, 7,769.17 and 1,283.86 is: 1,925.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.45 : 7,769.17 = 1,283.86 : x
  2. Step 2: Convert to fraction form
    5,179.45/7,769.17 = 1,283.86/x
  3. Step 3: Cross multiply
    5,179.45x = 7,769.17 × 1,283.86
  4. Step 4: Simplify right side
    5,179.45x = 9,974,494.21
  5. Step 5: Solve for x
    x = 9,974,494.21/5,179.45
  6. Step 6: Final answer
    x = 1,925.78

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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.