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Finding the Fourth Proportional to 7,206.57, 9,865.80 and 7,157.97

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Solution

The fourth proportional to 7,206.57, 9,865.80 and 7,157.97 is: 9,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.57 : 9,865.80 = 7,157.97 : x
  2. Step 2: Convert to fraction form
    7,206.57/9,865.80 = 7,157.97/x
  3. Step 3: Cross multiply
    7,206.57x = 9,865.80 × 7,157.97
  4. Step 4: Simplify right side
    7,206.57x = 70,619,100.43
  5. Step 5: Solve for x
    x = 70,619,100.43/7,206.57
  6. Step 6: Final answer
    x = 9,799.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.