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Finding the Fourth Proportional to 38,609.78, 57,915.24 and 15,236

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Solution

The fourth proportional to 38,609.78, 57,915.24 and 15,236 is: 22,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,609.78 : 57,915.24 = 15,236 : x
  2. Step 2: Convert to fraction form
    38,609.78/57,915.24 = 15,236/x
  3. Step 3: Cross multiply
    38,609.78x = 57,915.24 × 15,236
  4. Step 4: Simplify right side
    38,609.78x = 882,396,596.64
  5. Step 5: Solve for x
    x = 882,396,596.64/38,609.78
  6. Step 6: Final answer
    x = 22,854.22

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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.