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Finding the Fourth Proportional to 8,616.78, 12,926.79 and 2,771.82

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Solution

The fourth proportional to 8,616.78, 12,926.79 and 2,771.82 is: 4,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.78 : 12,926.79 = 2,771.82 : x
  2. Step 2: Convert to fraction form
    8,616.78/12,926.79 = 2,771.82/x
  3. Step 3: Cross multiply
    8,616.78x = 12,926.79 × 2,771.82
  4. Step 4: Simplify right side
    8,616.78x = 35,830,735.06
  5. Step 5: Solve for x
    x = 35,830,735.06/8,616.78
  6. Step 6: Final answer
    x = 4,158.25

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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.