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Finding the Fourth Proportional to 6,493.78, 9,735.90 and 4,408.60

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Solution

The fourth proportional to 6,493.78, 9,735.90 and 4,408.60 is: 6,609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.78 : 9,735.90 = 4,408.60 : x
  2. Step 2: Convert to fraction form
    6,493.78/9,735.90 = 4,408.60/x
  3. Step 3: Cross multiply
    6,493.78x = 9,735.90 × 4,408.60
  4. Step 4: Simplify right side
    6,493.78x = 42,921,688.74
  5. Step 5: Solve for x
    x = 42,921,688.74/6,493.78
  6. Step 6: Final answer
    x = 6,609.66

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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.