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Finding the Fourth Proportional to 12,146.70, 18,205.42 and 5,124

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Solution

The fourth proportional to 12,146.70, 18,205.42 and 5,124 is: 7,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.70 : 18,205.42 = 5,124 : x
  2. Step 2: Convert to fraction form
    12,146.70/18,205.42 = 5,124/x
  3. Step 3: Cross multiply
    12,146.70x = 18,205.42 × 5,124
  4. Step 4: Simplify right side
    12,146.70x = 93,284,572.08
  5. Step 5: Solve for x
    x = 93,284,572.08/12,146.70
  6. Step 6: Final answer
    x = 7,679.83

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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.