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Finding the Fourth Proportional to 12,423.81, 18,641.97 and 7,742.64

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Solution

The fourth proportional to 12,423.81, 18,641.97 and 7,742.64 is: 11,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.81 : 18,641.97 = 7,742.64 : x
  2. Step 2: Convert to fraction form
    12,423.81/18,641.97 = 7,742.64/x
  3. Step 3: Cross multiply
    12,423.81x = 18,641.97 × 7,742.64
  4. Step 4: Simplify right side
    12,423.81x = 144,338,062.60
  5. Step 5: Solve for x
    x = 144,338,062.60/12,423.81
  6. Step 6: Final answer
    x = 11,617.86

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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.