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Finding the Fourth Proportional to 6,998.60, 10,494.30 and 2,613.80

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Solution

The fourth proportional to 6,998.60, 10,494.30 and 2,613.80 is: 3,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.60 : 10,494.30 = 2,613.80 : x
  2. Step 2: Convert to fraction form
    6,998.60/10,494.30 = 2,613.80/x
  3. Step 3: Cross multiply
    6,998.60x = 10,494.30 × 2,613.80
  4. Step 4: Simplify right side
    6,998.60x = 27,430,001.34
  5. Step 5: Solve for x
    x = 27,430,001.34/6,998.60
  6. Step 6: Final answer
    x = 3,919.36

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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.