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Finding the Fourth Proportional to 7,940, 11,908.82 and 2,097.02

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Solution

The fourth proportional to 7,940, 11,908.82 and 2,097.02 is: 3,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940 : 11,908.82 = 2,097.02 : x
  2. Step 2: Convert to fraction form
    7,940/11,908.82 = 2,097.02/x
  3. Step 3: Cross multiply
    7,940x = 11,908.82 × 2,097.02
  4. Step 4: Simplify right side
    7,940x = 24,973,033.72
  5. Step 5: Solve for x
    x = 24,973,033.72/7,940
  6. Step 6: Final answer
    x = 3,145.22

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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.