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Finding the Fourth Proportional to 6,650.34, 9,971.91 and 2,431.86

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Solution

The fourth proportional to 6,650.34, 9,971.91 and 2,431.86 is: 3,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.34 : 9,971.91 = 2,431.86 : x
  2. Step 2: Convert to fraction form
    6,650.34/9,971.91 = 2,431.86/x
  3. Step 3: Cross multiply
    6,650.34x = 9,971.91 × 2,431.86
  4. Step 4: Simplify right side
    6,650.34x = 24,250,289.05
  5. Step 5: Solve for x
    x = 24,250,289.05/6,650.34
  6. Step 6: Final answer
    x = 3,646.47

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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.