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Finding the Fourth Proportional to 20,175, 27,841.50 and 11,343

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Solution

The fourth proportional to 20,175, 27,841.50 and 11,343 is: 15,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175 : 27,841.50 = 11,343 : x
  2. Step 2: Convert to fraction form
    20,175/27,841.50 = 11,343/x
  3. Step 3: Cross multiply
    20,175x = 27,841.50 × 11,343
  4. Step 4: Simplify right side
    20,175x = 315,806,134.50
  5. Step 5: Solve for x
    x = 315,806,134.50/20,175
  6. Step 6: Final answer
    x = 15,653.34

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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.