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Finding the Fourth Proportional to 5,164.85, 7,747.20 and 1,269.29

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Solution

The fourth proportional to 5,164.85, 7,747.20 and 1,269.29 is: 1,903.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.85 : 7,747.20 = 1,269.29 : x
  2. Step 2: Convert to fraction form
    5,164.85/7,747.20 = 1,269.29/x
  3. Step 3: Cross multiply
    5,164.85x = 7,747.20 × 1,269.29
  4. Step 4: Simplify right side
    5,164.85x = 9,833,404.75
  5. Step 5: Solve for x
    x = 9,833,404.75/5,164.85
  6. Step 6: Final answer
    x = 1,903.91

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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.