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Finding the Fourth Proportional to 15,829.50, 21,843.03 and 8,755.74

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Solution

The fourth proportional to 15,829.50, 21,843.03 and 8,755.74 is: 12,081.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,829.50 : 21,843.03 = 8,755.74 : x
  2. Step 2: Convert to fraction form
    15,829.50/21,843.03 = 8,755.74/x
  3. Step 3: Cross multiply
    15,829.50x = 21,843.03 × 8,755.74
  4. Step 4: Simplify right side
    15,829.50x = 191,251,891.49
  5. Step 5: Solve for x
    x = 191,251,891.49/15,829.50
  6. Step 6: Final answer
    x = 12,081.99

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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.