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Finding the Fourth Proportional to 12,199.80, 16,806.78 and 10,061.40

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Solution

The fourth proportional to 12,199.80, 16,806.78 and 10,061.40 is: 13,860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.80 : 16,806.78 = 10,061.40 : x
  2. Step 2: Convert to fraction form
    12,199.80/16,806.78 = 10,061.40/x
  3. Step 3: Cross multiply
    12,199.80x = 16,806.78 × 10,061.40
  4. Step 4: Simplify right side
    12,199.80x = 169,099,736.29
  5. Step 5: Solve for x
    x = 169,099,736.29/12,199.80
  6. Step 6: Final answer
    x = 13,860.86

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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.