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Finding the Fourth Proportional to 3,200.90, 4,806.30 and 1,742.90

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Solution

The fourth proportional to 3,200.90, 4,806.30 and 1,742.90 is: 2,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.90 : 4,806.30 = 1,742.90 : x
  2. Step 2: Convert to fraction form
    3,200.90/4,806.30 = 1,742.90/x
  3. Step 3: Cross multiply
    3,200.90x = 4,806.30 × 1,742.90
  4. Step 4: Simplify right side
    3,200.90x = 8,376,900.27
  5. Step 5: Solve for x
    x = 8,376,900.27/3,200.90
  6. Step 6: Final answer
    x = 2,617.05

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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.