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Finding the Fourth Proportional to 38,440.26, 57,660.05 and 12,145

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Solution

The fourth proportional to 38,440.26, 57,660.05 and 12,145 is: 18,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,440.26 : 57,660.05 = 12,145 : x
  2. Step 2: Convert to fraction form
    38,440.26/57,660.05 = 12,145/x
  3. Step 3: Cross multiply
    38,440.26x = 57,660.05 × 12,145
  4. Step 4: Simplify right side
    38,440.26x = 700,281,307.25
  5. Step 5: Solve for x
    x = 700,281,307.25/38,440.26
  6. Step 6: Final answer
    x = 18,217.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.