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Finding the Fourth Proportional to 20,175.25, 27,841.85 and 11,343.25

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Solution

The fourth proportional to 20,175.25, 27,841.85 and 11,343.25 is: 15,653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.25 : 27,841.85 = 11,343.25 : x
  2. Step 2: Convert to fraction form
    20,175.25/27,841.85 = 11,343.25/x
  3. Step 3: Cross multiply
    20,175.25x = 27,841.85 × 11,343.25
  4. Step 4: Simplify right side
    20,175.25x = 315,817,065.01
  5. Step 5: Solve for x
    x = 315,817,065.01/20,175.25
  6. Step 6: Final answer
    x = 15,653.69

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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.