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Finding the Fourth Proportional to 6,808.05, 9,397.62 and 5,977.60

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Solution

The fourth proportional to 6,808.05, 9,397.62 and 5,977.60 is: 8,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.05 : 9,397.62 = 5,977.60 : x
  2. Step 2: Convert to fraction form
    6,808.05/9,397.62 = 5,977.60/x
  3. Step 3: Cross multiply
    6,808.05x = 9,397.62 × 5,977.60
  4. Step 4: Simplify right side
    6,808.05x = 56,175,189.82
  5. Step 5: Solve for x
    x = 56,175,189.82/6,808.05
  6. Step 6: Final answer
    x = 8,251.29

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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.