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Finding the Fourth Proportional to 13,935.20, 20,902.80 and 8,106.80

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Solution

The fourth proportional to 13,935.20, 20,902.80 and 8,106.80 is: 12,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,935.20 : 20,902.80 = 8,106.80 : x
  2. Step 2: Convert to fraction form
    13,935.20/20,902.80 = 8,106.80/x
  3. Step 3: Cross multiply
    13,935.20x = 20,902.80 × 8,106.80
  4. Step 4: Simplify right side
    13,935.20x = 169,454,819.04
  5. Step 5: Solve for x
    x = 169,454,819.04/13,935.20
  6. Step 6: Final answer
    x = 12,160.20

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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.