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Finding the Fourth Proportional to 3,200.58, 4,800.78 and 1,742.58

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Solution

The fourth proportional to 3,200.58, 4,800.78 and 1,742.58 is: 2,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.58 : 4,800.78 = 1,742.58 : x
  2. Step 2: Convert to fraction form
    3,200.58/4,800.78 = 1,742.58/x
  3. Step 3: Cross multiply
    3,200.58x = 4,800.78 × 1,742.58
  4. Step 4: Simplify right side
    3,200.58x = 8,365,743.21
  5. Step 5: Solve for x
    x = 8,365,743.21/3,200.58
  6. Step 6: Final answer
    x = 2,613.82

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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.