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Finding the Fourth Proportional to 5,164.78, 7,747.20 and 2,086.78

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Solution

The fourth proportional to 5,164.78, 7,747.20 and 2,086.78 is: 3,130.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.78 : 7,747.20 = 2,086.78 : x
  2. Step 2: Convert to fraction form
    5,164.78/7,747.20 = 2,086.78/x
  3. Step 3: Cross multiply
    5,164.78x = 7,747.20 × 2,086.78
  4. Step 4: Simplify right side
    5,164.78x = 16,166,702.02
  5. Step 5: Solve for x
    x = 16,166,702.02/5,164.78
  6. Step 6: Final answer
    x = 3,130.18

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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.