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Finding the Fourth Proportional to 12,306.17, 18,462.19 and 3,986.19

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Solution

The fourth proportional to 12,306.17, 18,462.19 and 3,986.19 is: 5,980.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.17 : 18,462.19 = 3,986.19 : x
  2. Step 2: Convert to fraction form
    12,306.17/18,462.19 = 3,986.19/x
  3. Step 3: Cross multiply
    12,306.17x = 18,462.19 × 3,986.19
  4. Step 4: Simplify right side
    12,306.17x = 73,593,797.16
  5. Step 5: Solve for x
    x = 73,593,797.16/12,306.17
  6. Step 6: Final answer
    x = 5,980.24

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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.