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Finding the Fourth Proportional to 20,380, 28,124.04 and 11,427.48

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Solution

The fourth proportional to 20,380, 28,124.04 and 11,427.48 is: 15,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,380 : 28,124.04 = 11,427.48 : x
  2. Step 2: Convert to fraction form
    20,380/28,124.04 = 11,427.48/x
  3. Step 3: Cross multiply
    20,380x = 28,124.04 × 11,427.48
  4. Step 4: Simplify right side
    20,380x = 321,386,764.00
  5. Step 5: Solve for x
    x = 321,386,764.00/20,380
  6. Step 6: Final answer
    x = 15,769.71

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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.