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Finding the Fourth Proportional to 38,470.44, 57,705.06 and 19,739.67

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Solution

The fourth proportional to 38,470.44, 57,705.06 and 19,739.67 is: 29,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,470.44 : 57,705.06 = 19,739.67 : x
  2. Step 2: Convert to fraction form
    38,470.44/57,705.06 = 19,739.67/x
  3. Step 3: Cross multiply
    38,470.44x = 57,705.06 × 19,739.67
  4. Step 4: Simplify right side
    38,470.44x = 1,139,078,841.73
  5. Step 5: Solve for x
    x = 1,139,078,841.73/38,470.44
  6. Step 6: Final answer
    x = 29,609.20

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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.