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Finding the Fourth Proportional to 12,474, 18,715.86 and 4,683.42

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Solution

The fourth proportional to 12,474, 18,715.86 and 4,683.42 is: 7,026.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474 : 18,715.86 = 4,683.42 : x
  2. Step 2: Convert to fraction form
    12,474/18,715.86 = 4,683.42/x
  3. Step 3: Cross multiply
    12,474x = 18,715.86 × 4,683.42
  4. Step 4: Simplify right side
    12,474x = 87,654,233.04
  5. Step 5: Solve for x
    x = 87,654,233.04/12,474
  6. Step 6: Final answer
    x = 7,026.95

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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.