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Finding the Fourth Proportional to 12,361.65, 18,549.03 and 6,743.40

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Solution

The fourth proportional to 12,361.65, 18,549.03 and 6,743.40 is: 10,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361.65 : 18,549.03 = 6,743.40 : x
  2. Step 2: Convert to fraction form
    12,361.65/18,549.03 = 6,743.40/x
  3. Step 3: Cross multiply
    12,361.65x = 18,549.03 × 6,743.40
  4. Step 4: Simplify right side
    12,361.65x = 125,083,528.90
  5. Step 5: Solve for x
    x = 125,083,528.90/12,361.65
  6. Step 6: Final answer
    x = 10,118.68

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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.