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Finding the Fourth Proportional to 30,843.56, 42,519.56 and 20,214.74

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Solution

The fourth proportional to 30,843.56, 42,519.56 and 20,214.74 is: 27,867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.56 : 42,519.56 = 20,214.74 : x
  2. Step 2: Convert to fraction form
    30,843.56/42,519.56 = 20,214.74/x
  3. Step 3: Cross multiply
    30,843.56x = 42,519.56 × 20,214.74
  4. Step 4: Simplify right side
    30,843.56x = 859,521,536.64
  5. Step 5: Solve for x
    x = 859,521,536.64/30,843.56
  6. Step 6: Final answer
    x = 27,867.14

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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.