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Finding the Fourth Proportional to 20,275.29, 27,978.32 and 11,321.96

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Solution

The fourth proportional to 20,275.29, 27,978.32 and 11,321.96 is: 15,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,275.29 : 27,978.32 = 11,321.96 : x
  2. Step 2: Convert to fraction form
    20,275.29/27,978.32 = 11,321.96/x
  3. Step 3: Cross multiply
    20,275.29x = 27,978.32 × 11,321.96
  4. Step 4: Simplify right side
    20,275.29x = 316,769,308.32
  5. Step 5: Solve for x
    x = 316,769,308.32/20,275.29
  6. Step 6: Final answer
    x = 15,623.42

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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.