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Finding the Fourth Proportional to 8,197, 12,296.70 and 2,648.50

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Solution

The fourth proportional to 8,197, 12,296.70 and 2,648.50 is: 3,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197 : 12,296.70 = 2,648.50 : x
  2. Step 2: Convert to fraction form
    8,197/12,296.70 = 2,648.50/x
  3. Step 3: Cross multiply
    8,197x = 12,296.70 × 2,648.50
  4. Step 4: Simplify right side
    8,197x = 32,567,809.95
  5. Step 5: Solve for x
    x = 32,567,809.95/8,197
  6. Step 6: Final answer
    x = 3,973.14

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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.