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Finding the Fourth Proportional to 8,223.90, 12,336.48 and 2,959.98

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Solution

The fourth proportional to 8,223.90, 12,336.48 and 2,959.98 is: 4,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.90 : 12,336.48 = 2,959.98 : x
  2. Step 2: Convert to fraction form
    8,223.90/12,336.48 = 2,959.98/x
  3. Step 3: Cross multiply
    8,223.90x = 12,336.48 × 2,959.98
  4. Step 4: Simplify right side
    8,223.90x = 36,515,734.07
  5. Step 5: Solve for x
    x = 36,515,734.07/8,223.90
  6. Step 6: Final answer
    x = 4,440.20

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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.