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Finding the Fourth Proportional to 8,578.96, 12,865.80 and 3,313.55

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Solution

The fourth proportional to 8,578.96, 12,865.80 and 3,313.55 is: 4,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.96 : 12,865.80 = 3,313.55 : x
  2. Step 2: Convert to fraction form
    8,578.96/12,865.80 = 3,313.55/x
  3. Step 3: Cross multiply
    8,578.96x = 12,865.80 × 3,313.55
  4. Step 4: Simplify right side
    8,578.96x = 42,631,471.59
  5. Step 5: Solve for x
    x = 42,631,471.59/8,578.96
  6. Step 6: Final answer
    x = 4,969.31

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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.