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Finding the Fourth Proportional to 18,856.22, 28,285.14 and 7,764.92

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Solution

The fourth proportional to 18,856.22, 28,285.14 and 7,764.92 is: 11,647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,856.22 : 28,285.14 = 7,764.92 : x
  2. Step 2: Convert to fraction form
    18,856.22/28,285.14 = 7,764.92/x
  3. Step 3: Cross multiply
    18,856.22x = 28,285.14 × 7,764.92
  4. Step 4: Simplify right side
    18,856.22x = 219,631,849.29
  5. Step 5: Solve for x
    x = 219,631,849.29/18,856.22
  6. Step 6: Final answer
    x = 11,647.71

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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.