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Finding the Fourth Proportional to 27,284.78, 40,928.92 and 8,565.56

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Solution

The fourth proportional to 27,284.78, 40,928.92 and 8,565.56 is: 12,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,284.78 : 40,928.92 = 8,565.56 : x
  2. Step 2: Convert to fraction form
    27,284.78/40,928.92 = 8,565.56/x
  3. Step 3: Cross multiply
    27,284.78x = 40,928.92 × 8,565.56
  4. Step 4: Simplify right side
    27,284.78x = 350,579,120.00
  5. Step 5: Solve for x
    x = 350,579,120.00/27,284.78
  6. Step 6: Final answer
    x = 12,848.89

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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.