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Finding the Fourth Proportional to 8,856.74, 13,285.15 and 3,662.78

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Solution

The fourth proportional to 8,856.74, 13,285.15 and 3,662.78 is: 5,494.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,856.74 : 13,285.15 = 3,662.78 : x
  2. Step 2: Convert to fraction form
    8,856.74/13,285.15 = 3,662.78/x
  3. Step 3: Cross multiply
    8,856.74x = 13,285.15 × 3,662.78
  4. Step 4: Simplify right side
    8,856.74x = 48,660,581.72
  5. Step 5: Solve for x
    x = 48,660,581.72/8,856.74
  6. Step 6: Final answer
    x = 5,494.19

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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.