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Finding the Fourth Proportional to 8,200.80, 12,301.80 and 2,357.46

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Solution

The fourth proportional to 8,200.80, 12,301.80 and 2,357.46 is: 3,536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.80 : 12,301.80 = 2,357.46 : x
  2. Step 2: Convert to fraction form
    8,200.80/12,301.80 = 2,357.46/x
  3. Step 3: Cross multiply
    8,200.80x = 12,301.80 × 2,357.46
  4. Step 4: Simplify right side
    8,200.80x = 29,001,001.43
  5. Step 5: Solve for x
    x = 29,001,001.43/8,200.80
  6. Step 6: Final answer
    x = 3,536.36

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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.