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Finding the Fourth Proportional to 20,422, 28,181.82 and 11,470.48

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Solution

The fourth proportional to 20,422, 28,181.82 and 11,470.48 is: 15,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422 : 28,181.82 = 11,470.48 : x
  2. Step 2: Convert to fraction form
    20,422/28,181.82 = 11,470.48/x
  3. Step 3: Cross multiply
    20,422x = 28,181.82 × 11,470.48
  4. Step 4: Simplify right side
    20,422x = 323,259,002.67
  5. Step 5: Solve for x
    x = 323,259,002.67/20,422
  6. Step 6: Final answer
    x = 15,828.96

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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.