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Finding the Fourth Proportional to 5,164.80, 7,747.08 and 1,269.20

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Solution

The fourth proportional to 5,164.80, 7,747.08 and 1,269.20 is: 1,903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.80 : 7,747.08 = 1,269.20 : x
  2. Step 2: Convert to fraction form
    5,164.80/7,747.08 = 1,269.20/x
  3. Step 3: Cross multiply
    5,164.80x = 7,747.08 × 1,269.20
  4. Step 4: Simplify right side
    5,164.80x = 9,832,593.94
  5. Step 5: Solve for x
    x = 9,832,593.94/5,164.80
  6. Step 6: Final answer
    x = 1,903.77

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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.