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Finding the Fourth Proportional to 11,443.20, 17,164.80 and 3,652.80

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Solution

The fourth proportional to 11,443.20, 17,164.80 and 3,652.80 is: 5,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.20 : 17,164.80 = 3,652.80 : x
  2. Step 2: Convert to fraction form
    11,443.20/17,164.80 = 3,652.80/x
  3. Step 3: Cross multiply
    11,443.20x = 17,164.80 × 3,652.80
  4. Step 4: Simplify right side
    11,443.20x = 62,699,581.44
  5. Step 5: Solve for x
    x = 62,699,581.44/11,443.20
  6. Step 6: Final answer
    x = 5,479.20

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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.