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Finding the Fourth Proportional to 19,309.20, 28,963.80 and 8,213.10

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Solution

The fourth proportional to 19,309.20, 28,963.80 and 8,213.10 is: 12,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,309.20 : 28,963.80 = 8,213.10 : x
  2. Step 2: Convert to fraction form
    19,309.20/28,963.80 = 8,213.10/x
  3. Step 3: Cross multiply
    19,309.20x = 28,963.80 × 8,213.10
  4. Step 4: Simplify right side
    19,309.20x = 237,882,585.78
  5. Step 5: Solve for x
    x = 237,882,585.78/19,309.20
  6. Step 6: Final answer
    x = 12,319.65

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.