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Finding the Fourth Proportional to 38,476.40, 57,763.20 and 20,721.20

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Solution

The fourth proportional to 38,476.40, 57,763.20 and 20,721.20 is: 31,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476.40 : 57,763.20 = 20,721.20 : x
  2. Step 2: Convert to fraction form
    38,476.40/57,763.20 = 20,721.20/x
  3. Step 3: Cross multiply
    38,476.40x = 57,763.20 × 20,721.20
  4. Step 4: Simplify right side
    38,476.40x = 1,196,922,819.84
  5. Step 5: Solve for x
    x = 1,196,922,819.84/38,476.40
  6. Step 6: Final answer
    x = 31,107.97

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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.