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Finding the Fourth Proportional to 20,210.74, 27,891.65 and 11,258.24

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Solution

The fourth proportional to 20,210.74, 27,891.65 and 11,258.24 is: 15,536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,210.74 : 27,891.65 = 11,258.24 : x
  2. Step 2: Convert to fraction form
    20,210.74/27,891.65 = 11,258.24/x
  3. Step 3: Cross multiply
    20,210.74x = 27,891.65 × 11,258.24
  4. Step 4: Simplify right side
    20,210.74x = 314,010,778.38
  5. Step 5: Solve for x
    x = 314,010,778.38/20,210.74
  6. Step 6: Final answer
    x = 15,536.83

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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.