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Finding the Fourth Proportional to 8,442.03, 12,664.43 and 2,598.65

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Solution

The fourth proportional to 8,442.03, 12,664.43 and 2,598.65 is: 3,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.03 : 12,664.43 = 2,598.65 : x
  2. Step 2: Convert to fraction form
    8,442.03/12,664.43 = 2,598.65/x
  3. Step 3: Cross multiply
    8,442.03x = 12,664.43 × 2,598.65
  4. Step 4: Simplify right side
    8,442.03x = 32,910,344.70
  5. Step 5: Solve for x
    x = 32,910,344.70/8,442.03
  6. Step 6: Final answer
    x = 3,898.39

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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.