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Finding the Fourth Proportional to 12,169.96, 18,255 and 5,148.20

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Solution

The fourth proportional to 12,169.96, 18,255 and 5,148.20 is: 7,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.96 : 18,255 = 5,148.20 : x
  2. Step 2: Convert to fraction form
    12,169.96/18,255 = 5,148.20/x
  3. Step 3: Cross multiply
    12,169.96x = 18,255 × 5,148.20
  4. Step 4: Simplify right side
    12,169.96x = 93,980,391
  5. Step 5: Solve for x
    x = 93,980,391/12,169.96
  6. Step 6: Final answer
    x = 7,722.33

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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.