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Finding the Fourth Proportional to 8,216.57, 12,329.00 and 3,287.63

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Solution

The fourth proportional to 8,216.57, 12,329.00 and 3,287.63 is: 4,933.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.57 : 12,329.00 = 3,287.63 : x
  2. Step 2: Convert to fraction form
    8,216.57/12,329.00 = 3,287.63/x
  3. Step 3: Cross multiply
    8,216.57x = 12,329.00 × 3,287.63
  4. Step 4: Simplify right side
    8,216.57x = 40,533,112.19
  5. Step 5: Solve for x
    x = 40,533,112.19/8,216.57
  6. Step 6: Final answer
    x = 4,933.10

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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.