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Finding the Fourth Proportional to 8,442.78, 12,664.26 and 2,599.44

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Solution

The fourth proportional to 8,442.78, 12,664.26 and 2,599.44 is: 3,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.78 : 12,664.26 = 2,599.44 : x
  2. Step 2: Convert to fraction form
    8,442.78/12,664.26 = 2,599.44/x
  3. Step 3: Cross multiply
    8,442.78x = 12,664.26 × 2,599.44
  4. Step 4: Simplify right side
    8,442.78x = 32,919,984.01
  5. Step 5: Solve for x
    x = 32,919,984.01/8,442.78
  6. Step 6: Final answer
    x = 3,899.19

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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.