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Finding the Fourth Proportional to 9,965.36, 13,737.15 and 8,193.89

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Solution

The fourth proportional to 9,965.36, 13,737.15 and 8,193.89 is: 11,295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.36 : 13,737.15 = 8,193.89 : x
  2. Step 2: Convert to fraction form
    9,965.36/13,737.15 = 8,193.89/x
  3. Step 3: Cross multiply
    9,965.36x = 13,737.15 × 8,193.89
  4. Step 4: Simplify right side
    9,965.36x = 112,560,627.33
  5. Step 5: Solve for x
    x = 112,560,627.33/9,965.36
  6. Step 6: Final answer
    x = 11,295.19

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1.5x scale

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.