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Finding the Fourth Proportional to 7,805.34, 11,708.40 and 3,908.42

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Solution

The fourth proportional to 7,805.34, 11,708.40 and 3,908.42 is: 5,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.34 : 11,708.40 = 3,908.42 : x
  2. Step 2: Convert to fraction form
    7,805.34/11,708.40 = 3,908.42/x
  3. Step 3: Cross multiply
    7,805.34x = 11,708.40 × 3,908.42
  4. Step 4: Simplify right side
    7,805.34x = 45,761,344.73
  5. Step 5: Solve for x
    x = 45,761,344.73/7,805.34
  6. Step 6: Final answer
    x = 5,862.83

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1.5x scale

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.