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Finding the Fourth Proportional to 38,478.40, 57,719.40 and 12,185.20

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Solution

The fourth proportional to 38,478.40, 57,719.40 and 12,185.20 is: 18,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,478.40 : 57,719.40 = 12,185.20 : x
  2. Step 2: Convert to fraction form
    38,478.40/57,719.40 = 12,185.20/x
  3. Step 3: Cross multiply
    38,478.40x = 57,719.40 × 12,185.20
  4. Step 4: Simplify right side
    38,478.40x = 703,322,432.88
  5. Step 5: Solve for x
    x = 703,322,432.88/38,478.40
  6. Step 6: Final answer
    x = 18,278.37

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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.