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Finding the Fourth Proportional to 8,172.77, 12,264.62 and 2,978.64

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Solution

The fourth proportional to 8,172.77, 12,264.62 and 2,978.64 is: 4,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.77 : 12,264.62 = 2,978.64 : x
  2. Step 2: Convert to fraction form
    8,172.77/12,264.62 = 2,978.64/x
  3. Step 3: Cross multiply
    8,172.77x = 12,264.62 × 2,978.64
  4. Step 4: Simplify right side
    8,172.77x = 36,531,872.82
  5. Step 5: Solve for x
    x = 36,531,872.82/8,172.77
  6. Step 6: Final answer
    x = 4,469.95

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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.