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Finding the Fourth Proportional to 9,894.31, 13,650.42 and 6,493.21

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Solution

The fourth proportional to 9,894.31, 13,650.42 and 6,493.21 is: 8,958.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.31 : 13,650.42 = 6,493.21 : x
  2. Step 2: Convert to fraction form
    9,894.31/13,650.42 = 6,493.21/x
  3. Step 3: Cross multiply
    9,894.31x = 13,650.42 × 6,493.21
  4. Step 4: Simplify right side
    9,894.31x = 88,635,043.65
  5. Step 5: Solve for x
    x = 88,635,043.65/9,894.31
  6. Step 6: Final answer
    x = 8,958.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.