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Finding the Fourth Proportional to 3,200.94, 4,801.38 and 1,739.76

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Solution

The fourth proportional to 3,200.94, 4,801.38 and 1,739.76 is: 2,609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.94 : 4,801.38 = 1,739.76 : x
  2. Step 2: Convert to fraction form
    3,200.94/4,801.38 = 1,739.76/x
  3. Step 3: Cross multiply
    3,200.94x = 4,801.38 × 1,739.76
  4. Step 4: Simplify right side
    3,200.94x = 8,353,248.87
  5. Step 5: Solve for x
    x = 8,353,248.87/3,200.94
  6. Step 6: Final answer
    x = 2,609.62

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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.