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Finding the Fourth Proportional to 38,474.40, 57,713.40 and 12,181.20

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Solution

The fourth proportional to 38,474.40, 57,713.40 and 12,181.20 is: 18,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,474.40 : 57,713.40 = 12,181.20 : x
  2. Step 2: Convert to fraction form
    38,474.40/57,713.40 = 12,181.20/x
  3. Step 3: Cross multiply
    38,474.40x = 57,713.40 × 12,181.20
  4. Step 4: Simplify right side
    38,474.40x = 703,018,468.08
  5. Step 5: Solve for x
    x = 703,018,468.08/38,474.40
  6. Step 6: Final answer
    x = 18,272.37

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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.