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Finding the Fourth Proportional to 27,998.13, 42,003.09 and 9,277.09

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Solution

The fourth proportional to 27,998.13, 42,003.09 and 9,277.09 is: 13,917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,998.13 : 42,003.09 = 9,277.09 : x
  2. Step 2: Convert to fraction form
    27,998.13/42,003.09 = 9,277.09/x
  3. Step 3: Cross multiply
    27,998.13x = 42,003.09 × 9,277.09
  4. Step 4: Simplify right side
    27,998.13x = 389,666,446.21
  5. Step 5: Solve for x
    x = 389,666,446.21/27,998.13
  6. Step 6: Final answer
    x = 13,917.59

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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.