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Finding the Fourth Proportional to 8,236.84, 12,355.47 and 2,972.30

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Solution

The fourth proportional to 8,236.84, 12,355.47 and 2,972.30 is: 4,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,236.84 : 12,355.47 = 2,972.30 : x
  2. Step 2: Convert to fraction form
    8,236.84/12,355.47 = 2,972.30/x
  3. Step 3: Cross multiply
    8,236.84x = 12,355.47 × 2,972.30
  4. Step 4: Simplify right side
    8,236.84x = 36,724,163.48
  5. Step 5: Solve for x
    x = 36,724,163.48/8,236.84
  6. Step 6: Final answer
    x = 4,458.53

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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.