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Finding the Fourth Proportional to 5,165.28, 7,747.86 and 1,269.72

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Solution

The fourth proportional to 5,165.28, 7,747.86 and 1,269.72 is: 1,904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.28 : 7,747.86 = 1,269.72 : x
  2. Step 2: Convert to fraction form
    5,165.28/7,747.86 = 1,269.72/x
  3. Step 3: Cross multiply
    5,165.28x = 7,747.86 × 1,269.72
  4. Step 4: Simplify right side
    5,165.28x = 9,837,612.80
  5. Step 5: Solve for x
    x = 9,837,612.80/5,165.28
  6. Step 6: Final answer
    x = 1,904.57

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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.