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Finding the Fourth Proportional to 27,780.88, 38,337.88 and 15,205.90

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Solution

The fourth proportional to 27,780.88, 38,337.88 and 15,205.90 is: 20,984.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780.88 : 38,337.88 = 15,205.90 : x
  2. Step 2: Convert to fraction form
    27,780.88/38,337.88 = 15,205.90/x
  3. Step 3: Cross multiply
    27,780.88x = 38,337.88 × 15,205.90
  4. Step 4: Simplify right side
    27,780.88x = 582,961,777.80
  5. Step 5: Solve for x
    x = 582,961,777.80/27,780.88
  6. Step 6: Final answer
    x = 20,984.28

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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.