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Finding the Fourth Proportional to 27,110.80, 40,633.80 and 13,956.40

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Solution

The fourth proportional to 27,110.80, 40,633.80 and 13,956.40 is: 20,917.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,110.80 : 40,633.80 = 13,956.40 : x
  2. Step 2: Convert to fraction form
    27,110.80/40,633.80 = 13,956.40/x
  3. Step 3: Cross multiply
    27,110.80x = 40,633.80 × 13,956.40
  4. Step 4: Simplify right side
    27,110.80x = 567,101,566.32
  5. Step 5: Solve for x
    x = 567,101,566.32/27,110.80
  6. Step 6: Final answer
    x = 20,917.92

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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.