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Finding the Fourth Proportional to 6,538.16, 9,806.97 and 5,657.80

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Solution

The fourth proportional to 6,538.16, 9,806.97 and 5,657.80 is: 8,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.16 : 9,806.97 = 5,657.80 : x
  2. Step 2: Convert to fraction form
    6,538.16/9,806.97 = 5,657.80/x
  3. Step 3: Cross multiply
    6,538.16x = 9,806.97 × 5,657.80
  4. Step 4: Simplify right side
    6,538.16x = 55,485,874.87
  5. Step 5: Solve for x
    x = 55,485,874.87/6,538.16
  6. Step 6: Final answer
    x = 8,486.47

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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.