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Finding the Fourth Proportional to 15,982.50, 22,055 and 8,908.76

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Solution

The fourth proportional to 15,982.50, 22,055 and 8,908.76 is: 12,293.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.50 : 22,055 = 8,908.76 : x
  2. Step 2: Convert to fraction form
    15,982.50/22,055 = 8,908.76/x
  3. Step 3: Cross multiply
    15,982.50x = 22,055 × 8,908.76
  4. Step 4: Simplify right side
    15,982.50x = 196,482,701.80
  5. Step 5: Solve for x
    x = 196,482,701.80/15,982.50
  6. Step 6: Final answer
    x = 12,293.62

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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.