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Finding the Fourth Proportional to 18,205, 27,282.11 and 13,759.01

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Solution

The fourth proportional to 18,205, 27,282.11 and 13,759.01 is: 20,619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205 : 27,282.11 = 13,759.01 : x
  2. Step 2: Convert to fraction form
    18,205/27,282.11 = 13,759.01/x
  3. Step 3: Cross multiply
    18,205x = 27,282.11 × 13,759.01
  4. Step 4: Simplify right side
    18,205x = 375,374,824.31
  5. Step 5: Solve for x
    x = 375,374,824.31/18,205
  6. Step 6: Final answer
    x = 20,619.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.