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Finding the Fourth Proportional to 9,958.89, 13,734.41 and 7,859.37

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Solution

The fourth proportional to 9,958.89, 13,734.41 and 7,859.37 is: 10,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.89 : 13,734.41 = 7,859.37 : x
  2. Step 2: Convert to fraction form
    9,958.89/13,734.41 = 7,859.37/x
  3. Step 3: Cross multiply
    9,958.89x = 13,734.41 × 7,859.37
  4. Step 4: Simplify right side
    9,958.89x = 107,943,770.62
  5. Step 5: Solve for x
    x = 107,943,770.62/9,958.89
  6. Step 6: Final answer
    x = 10,838.94

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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.