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Finding the Fourth Proportional to 41,665, 62,484.60 and 12,085

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Solution

The fourth proportional to 41,665, 62,484.60 and 12,085 is: 18,123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,665 : 62,484.60 = 12,085 : x
  2. Step 2: Convert to fraction form
    41,665/62,484.60 = 12,085/x
  3. Step 3: Cross multiply
    41,665x = 62,484.60 × 12,085
  4. Step 4: Simplify right side
    41,665x = 755,126,391
  5. Step 5: Solve for x
    x = 755,126,391/41,665
  6. Step 6: Final answer
    x = 18,123.76

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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.