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Finding the Fourth Proportional to 20,028, 27,642.04 and 13,564.80

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Solution

The fourth proportional to 20,028, 27,642.04 and 13,564.80 is: 18,721.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,028 : 27,642.04 = 13,564.80 : x
  2. Step 2: Convert to fraction form
    20,028/27,642.04 = 13,564.80/x
  3. Step 3: Cross multiply
    20,028x = 27,642.04 × 13,564.80
  4. Step 4: Simplify right side
    20,028x = 374,958,744.19
  5. Step 5: Solve for x
    x = 374,958,744.19/20,028
  6. Step 6: Final answer
    x = 18,721.73

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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.