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Finding the Fourth Proportional to 20,175, 27,820.44 and 12,214.32

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Solution

The fourth proportional to 20,175, 27,820.44 and 12,214.32 is: 16,843.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175 : 27,820.44 = 12,214.32 : x
  2. Step 2: Convert to fraction form
    20,175/27,820.44 = 12,214.32/x
  3. Step 3: Cross multiply
    20,175x = 27,820.44 × 12,214.32
  4. Step 4: Simplify right side
    20,175x = 339,807,756.70
  5. Step 5: Solve for x
    x = 339,807,756.70/20,175
  6. Step 6: Final answer
    x = 16,843.01

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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.