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Finding the Fourth Proportional to 25,470.80, 38,206.20 and 23,721.20

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Solution

The fourth proportional to 25,470.80, 38,206.20 and 23,721.20 is: 35,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,470.80 : 38,206.20 = 23,721.20 : x
  2. Step 2: Convert to fraction form
    25,470.80/38,206.20 = 23,721.20/x
  3. Step 3: Cross multiply
    25,470.80x = 38,206.20 × 23,721.20
  4. Step 4: Simplify right side
    25,470.80x = 906,296,911.44
  5. Step 5: Solve for x
    x = 906,296,911.44/25,470.80
  6. Step 6: Final answer
    x = 35,581.80

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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.