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Finding the Fourth Proportional to 7,035, 9,708.54 and 3,891.78

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Solution

The fourth proportional to 7,035, 9,708.54 and 3,891.78 is: 5,370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035 : 9,708.54 = 3,891.78 : x
  2. Step 2: Convert to fraction form
    7,035/9,708.54 = 3,891.78/x
  3. Step 3: Cross multiply
    7,035x = 9,708.54 × 3,891.78
  4. Step 4: Simplify right side
    7,035x = 37,783,501.80
  5. Step 5: Solve for x
    x = 37,783,501.80/7,035
  6. Step 6: Final answer
    x = 5,370.79

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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.