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Finding the Fourth Proportional to 18,612.72, 27,909.36 and 13,986

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Solution

The fourth proportional to 18,612.72, 27,909.36 and 13,986 is: 20,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,612.72 : 27,909.36 = 13,986 : x
  2. Step 2: Convert to fraction form
    18,612.72/27,909.36 = 13,986/x
  3. Step 3: Cross multiply
    18,612.72x = 27,909.36 × 13,986
  4. Step 4: Simplify right side
    18,612.72x = 390,340,308.96
  5. Step 5: Solve for x
    x = 390,340,308.96/18,612.72
  6. Step 6: Final answer
    x = 20,971.70

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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.