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Finding the Fourth Proportional to 6,442.43, 9,647.80 and 3,144.89

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Solution

The fourth proportional to 6,442.43, 9,647.80 and 3,144.89 is: 4,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.43 : 9,647.80 = 3,144.89 : x
  2. Step 2: Convert to fraction form
    6,442.43/9,647.80 = 3,144.89/x
  3. Step 3: Cross multiply
    6,442.43x = 9,647.80 × 3,144.89
  4. Step 4: Simplify right side
    6,442.43x = 30,341,269.74
  5. Step 5: Solve for x
    x = 30,341,269.74/6,442.43
  6. Step 6: Final answer
    x = 4,709.60

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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.