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Finding the Fourth Proportional to 8,153.68, 12,236 and 2,888.67

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Solution

The fourth proportional to 8,153.68, 12,236 and 2,888.67 is: 4,334.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.68 : 12,236 = 2,888.67 : x
  2. Step 2: Convert to fraction form
    8,153.68/12,236 = 2,888.67/x
  3. Step 3: Cross multiply
    8,153.68x = 12,236 × 2,888.67
  4. Step 4: Simplify right side
    8,153.68x = 35,345,766.12
  5. Step 5: Solve for x
    x = 35,345,766.12/8,153.68
  6. Step 6: Final answer
    x = 4,334.95

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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.