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Finding the Fourth Proportional to 27,856.86, 41,780.48 and 7,867.74

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Solution

The fourth proportional to 27,856.86, 41,780.48 and 7,867.74 is: 11,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.86 : 41,780.48 = 7,867.74 : x
  2. Step 2: Convert to fraction form
    27,856.86/41,780.48 = 7,867.74/x
  3. Step 3: Cross multiply
    27,856.86x = 41,780.48 × 7,867.74
  4. Step 4: Simplify right side
    27,856.86x = 328,717,953.72
  5. Step 5: Solve for x
    x = 328,717,953.72/27,856.86
  6. Step 6: Final answer
    x = 11,800.25

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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.