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Finding the Fourth Proportional to 8,223.84, 12,332.64 and 3,290.88

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Solution

The fourth proportional to 8,223.84, 12,332.64 and 3,290.88 is: 4,935.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.84 : 12,332.64 = 3,290.88 : x
  2. Step 2: Convert to fraction form
    8,223.84/12,332.64 = 3,290.88/x
  3. Step 3: Cross multiply
    8,223.84x = 12,332.64 × 3,290.88
  4. Step 4: Simplify right side
    8,223.84x = 40,585,238.32
  5. Step 5: Solve for x
    x = 40,585,238.32/8,223.84
  6. Step 6: Final answer
    x = 4,935.07

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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.