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Finding the Fourth Proportional to 9,328, 13,991.99 and 6,397.42

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Solution

The fourth proportional to 9,328, 13,991.99 and 6,397.42 is: 9,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328 : 13,991.99 = 6,397.42 : x
  2. Step 2: Convert to fraction form
    9,328/13,991.99 = 6,397.42/x
  3. Step 3: Cross multiply
    9,328x = 13,991.99 × 6,397.42
  4. Step 4: Simplify right side
    9,328x = 89,512,636.67
  5. Step 5: Solve for x
    x = 89,512,636.67/9,328
  6. Step 6: Final answer
    x = 9,596.12

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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.