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Finding the Fourth Proportional to 8,193.60, 12,282 and 3,256.56

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Solution

The fourth proportional to 8,193.60, 12,282 and 3,256.56 is: 4,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.60 : 12,282 = 3,256.56 : x
  2. Step 2: Convert to fraction form
    8,193.60/12,282 = 3,256.56/x
  3. Step 3: Cross multiply
    8,193.60x = 12,282 × 3,256.56
  4. Step 4: Simplify right side
    8,193.60x = 39,997,069.92
  5. Step 5: Solve for x
    x = 39,997,069.92/8,193.60
  6. Step 6: Final answer
    x = 4,881.50

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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.