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Finding the Fourth Proportional to 27,720.80, 38,245.20 and 15,781.20

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Solution

The fourth proportional to 27,720.80, 38,245.20 and 15,781.20 is: 21,772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720.80 : 38,245.20 = 15,781.20 : x
  2. Step 2: Convert to fraction form
    27,720.80/38,245.20 = 15,781.20/x
  3. Step 3: Cross multiply
    27,720.80x = 38,245.20 × 15,781.20
  4. Step 4: Simplify right side
    27,720.80x = 603,555,150.24
  5. Step 5: Solve for x
    x = 603,555,150.24/27,720.80
  6. Step 6: Final answer
    x = 21,772.65

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1.5x scale

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.