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Finding the Fourth Proportional to 8,178.01, 12,264.57 and 2,912.08

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Solution

The fourth proportional to 8,178.01, 12,264.57 and 2,912.08 is: 4,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.01 : 12,264.57 = 2,912.08 : x
  2. Step 2: Convert to fraction form
    8,178.01/12,264.57 = 2,912.08/x
  3. Step 3: Cross multiply
    8,178.01x = 12,264.57 × 2,912.08
  4. Step 4: Simplify right side
    8,178.01x = 35,715,409.01
  5. Step 5: Solve for x
    x = 35,715,409.01/8,178.01
  6. Step 6: Final answer
    x = 4,367.25

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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.