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Finding the Fourth Proportional to 7,102.50, 9,800.82 and 3,958.62

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Solution

The fourth proportional to 7,102.50, 9,800.82 and 3,958.62 is: 5,462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.50 : 9,800.82 = 3,958.62 : x
  2. Step 2: Convert to fraction form
    7,102.50/9,800.82 = 3,958.62/x
  3. Step 3: Cross multiply
    7,102.50x = 9,800.82 × 3,958.62
  4. Step 4: Simplify right side
    7,102.50x = 38,797,722.07
  5. Step 5: Solve for x
    x = 38,797,722.07/7,102.50
  6. Step 6: Final answer
    x = 5,462.54

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1.5x scale

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.