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Finding the Fourth Proportional to 12,199, 18,298.51 and 3,433.92

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Solution

The fourth proportional to 12,199, 18,298.51 and 3,433.92 is: 5,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199 : 18,298.51 = 3,433.92 : x
  2. Step 2: Convert to fraction form
    12,199/18,298.51 = 3,433.92/x
  3. Step 3: Cross multiply
    12,199x = 18,298.51 × 3,433.92
  4. Step 4: Simplify right side
    12,199x = 62,835,527.97
  5. Step 5: Solve for x
    x = 62,835,527.97/12,199
  6. Step 6: Final answer
    x = 5,150.88

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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.