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Finding the Fourth Proportional to 3,193.76, 4,790.64 and 1,344.80

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Solution

The fourth proportional to 3,193.76, 4,790.64 and 1,344.80 is: 2,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.76 : 4,790.64 = 1,344.80 : x
  2. Step 2: Convert to fraction form
    3,193.76/4,790.64 = 1,344.80/x
  3. Step 3: Cross multiply
    3,193.76x = 4,790.64 × 1,344.80
  4. Step 4: Simplify right side
    3,193.76x = 6,442,452.67
  5. Step 5: Solve for x
    x = 6,442,452.67/3,193.76
  6. Step 6: Final answer
    x = 2,017.20

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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.