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Finding the Fourth Proportional to 20,105.70, 27,772.92 and 15,448.20

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Solution

The fourth proportional to 20,105.70, 27,772.92 and 15,448.20 is: 21,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.70 : 27,772.92 = 15,448.20 : x
  2. Step 2: Convert to fraction form
    20,105.70/27,772.92 = 15,448.20/x
  3. Step 3: Cross multiply
    20,105.70x = 27,772.92 × 15,448.20
  4. Step 4: Simplify right side
    20,105.70x = 429,041,622.74
  5. Step 5: Solve for x
    x = 429,041,622.74/20,105.70
  6. Step 6: Final answer
    x = 21,339.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.