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Finding the Fourth Proportional to 22,149, 30,565.62 and 13,765.48

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Solution

The fourth proportional to 22,149, 30,565.62 and 13,765.48 is: 18,996.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,149 : 30,565.62 = 13,765.48 : x
  2. Step 2: Convert to fraction form
    22,149/30,565.62 = 13,765.48/x
  3. Step 3: Cross multiply
    22,149x = 30,565.62 × 13,765.48
  4. Step 4: Simplify right side
    22,149x = 420,750,430.80
  5. Step 5: Solve for x
    x = 420,750,430.80/22,149
  6. Step 6: Final answer
    x = 18,996.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.