Home / 20,187.28-27,842.64-13,116

Finding the Fourth Proportional to 20,187.28, 27,842.64 and 13,116

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Solution

The fourth proportional to 20,187.28, 27,842.64 and 13,116 is: 18,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,187.28 : 27,842.64 = 13,116 : x
  2. Step 2: Convert to fraction form
    20,187.28/27,842.64 = 13,116/x
  3. Step 3: Cross multiply
    20,187.28x = 27,842.64 × 13,116
  4. Step 4: Simplify right side
    20,187.28x = 365,184,066.24
  5. Step 5: Solve for x
    x = 365,184,066.24/20,187.28
  6. Step 6: Final answer
    x = 18,089.81

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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.