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Finding the Fourth Proportional to 7,171.86, 10,748.49 and 3,220.20

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Solution

The fourth proportional to 7,171.86, 10,748.49 and 3,220.20 is: 4,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.86 : 10,748.49 = 3,220.20 : x
  2. Step 2: Convert to fraction form
    7,171.86/10,748.49 = 3,220.20/x
  3. Step 3: Cross multiply
    7,171.86x = 10,748.49 × 3,220.20
  4. Step 4: Simplify right side
    7,171.86x = 34,612,287.50
  5. Step 5: Solve for x
    x = 34,612,287.50/7,171.86
  6. Step 6: Final answer
    x = 4,826.12

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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.