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Finding the Fourth Proportional to 12,206.49, 18,309.78 and 2,972.49

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Solution

The fourth proportional to 12,206.49, 18,309.78 and 2,972.49 is: 4,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.49 : 18,309.78 = 2,972.49 : x
  2. Step 2: Convert to fraction form
    12,206.49/18,309.78 = 2,972.49/x
  3. Step 3: Cross multiply
    12,206.49x = 18,309.78 × 2,972.49
  4. Step 4: Simplify right side
    12,206.49x = 54,425,637.95
  5. Step 5: Solve for x
    x = 54,425,637.95/12,206.49
  6. Step 6: Final answer
    x = 4,458.75

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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.