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Finding the Fourth Proportional to 38,441.26, 57,661.55 and 12,146

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Solution

The fourth proportional to 38,441.26, 57,661.55 and 12,146 is: 18,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,441.26 : 57,661.55 = 12,146 : x
  2. Step 2: Convert to fraction form
    38,441.26/57,661.55 = 12,146/x
  3. Step 3: Cross multiply
    38,441.26x = 57,661.55 × 12,146
  4. Step 4: Simplify right side
    38,441.26x = 700,357,186.30
  5. Step 5: Solve for x
    x = 700,357,186.30/38,441.26
  6. Step 6: Final answer
    x = 18,218.89

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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.