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Finding the Fourth Proportional to 6,842.20, 10,264.80 and 2,682.20

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Solution

The fourth proportional to 6,842.20, 10,264.80 and 2,682.20 is: 4,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.20 : 10,264.80 = 2,682.20 : x
  2. Step 2: Convert to fraction form
    6,842.20/10,264.80 = 2,682.20/x
  3. Step 3: Cross multiply
    6,842.20x = 10,264.80 × 2,682.20
  4. Step 4: Simplify right side
    6,842.20x = 27,532,246.56
  5. Step 5: Solve for x
    x = 27,532,246.56/6,842.20
  6. Step 6: Final answer
    x = 4,023.89

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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.