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Finding the Fourth Proportional to 12,206.30, 18,309.45 and 10,019.30

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Solution

The fourth proportional to 12,206.30, 18,309.45 and 10,019.30 is: 15,028.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.30 : 18,309.45 = 10,019.30 : x
  2. Step 2: Convert to fraction form
    12,206.30/18,309.45 = 10,019.30/x
  3. Step 3: Cross multiply
    12,206.30x = 18,309.45 × 10,019.30
  4. Step 4: Simplify right side
    12,206.30x = 183,447,872.39
  5. Step 5: Solve for x
    x = 183,447,872.39/12,206.30
  6. Step 6: Final answer
    x = 15,028.95

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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.