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Finding the Fourth Proportional to 8,210.52, 12,316.94 and 2,662

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Solution

The fourth proportional to 8,210.52, 12,316.94 and 2,662 is: 3,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.52 : 12,316.94 = 2,662 : x
  2. Step 2: Convert to fraction form
    8,210.52/12,316.94 = 2,662/x
  3. Step 3: Cross multiply
    8,210.52x = 12,316.94 × 2,662
  4. Step 4: Simplify right side
    8,210.52x = 32,787,694.28
  5. Step 5: Solve for x
    x = 32,787,694.28/8,210.52
  6. Step 6: Final answer
    x = 3,993.38

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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.