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Finding the Fourth Proportional to 38,272.86, 57,384.36 and 13,311

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Solution

The fourth proportional to 38,272.86, 57,384.36 and 13,311 is: 19,957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,272.86 : 57,384.36 = 13,311 : x
  2. Step 2: Convert to fraction form
    38,272.86/57,384.36 = 13,311/x
  3. Step 3: Cross multiply
    38,272.86x = 57,384.36 × 13,311
  4. Step 4: Simplify right side
    38,272.86x = 763,843,215.96
  5. Step 5: Solve for x
    x = 763,843,215.96/38,272.86
  6. Step 6: Final answer
    x = 19,957.83

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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.