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Finding the Fourth Proportional to 8,575.86, 12,856.89 and 7,883.88

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Solution

The fourth proportional to 8,575.86, 12,856.89 and 7,883.88 is: 11,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.86 : 12,856.89 = 7,883.88 : x
  2. Step 2: Convert to fraction form
    8,575.86/12,856.89 = 7,883.88/x
  3. Step 3: Cross multiply
    8,575.86x = 12,856.89 × 7,883.88
  4. Step 4: Simplify right side
    8,575.86x = 101,362,177.93
  5. Step 5: Solve for x
    x = 101,362,177.93/8,575.86
  6. Step 6: Final answer
    x = 11,819.48

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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.