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Finding the Fourth Proportional to 7,889.68, 11,834.05 and 2,958.91

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Solution

The fourth proportional to 7,889.68, 11,834.05 and 2,958.91 is: 4,438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.68 : 11,834.05 = 2,958.91 : x
  2. Step 2: Convert to fraction form
    7,889.68/11,834.05 = 2,958.91/x
  3. Step 3: Cross multiply
    7,889.68x = 11,834.05 × 2,958.91
  4. Step 4: Simplify right side
    7,889.68x = 35,015,888.89
  5. Step 5: Solve for x
    x = 35,015,888.89/7,889.68
  6. Step 6: Final answer
    x = 4,438.19

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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.