Home / 7,805.39-11,708.06-1,962

Finding the Fourth Proportional to 7,805.39, 11,708.06 and 1,962

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Solution

The fourth proportional to 7,805.39, 11,708.06 and 1,962 is: 2,942.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.39 : 11,708.06 = 1,962 : x
  2. Step 2: Convert to fraction form
    7,805.39/11,708.06 = 1,962/x
  3. Step 3: Cross multiply
    7,805.39x = 11,708.06 × 1,962
  4. Step 4: Simplify right side
    7,805.39x = 22,971,203.91
  5. Step 5: Solve for x
    x = 22,971,203.91/7,805.39
  6. Step 6: Final answer
    x = 2,942.99

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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.