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Finding the Fourth Proportional to 34,524.72, 47,648.79 and 20,188.80

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Solution

The fourth proportional to 34,524.72, 47,648.79 and 20,188.80 is: 27,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,524.72 : 47,648.79 = 20,188.80 : x
  2. Step 2: Convert to fraction form
    34,524.72/47,648.79 = 20,188.80/x
  3. Step 3: Cross multiply
    34,524.72x = 47,648.79 × 20,188.80
  4. Step 4: Simplify right side
    34,524.72x = 961,971,891.55
  5. Step 5: Solve for x
    x = 961,971,891.55/34,524.72
  6. Step 6: Final answer
    x = 27,863.28

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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.