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Finding the Fourth Proportional to 3,069.43, 4,235.42 and 1,742.85

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Solution

The fourth proportional to 3,069.43, 4,235.42 and 1,742.85 is: 2,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.43 : 4,235.42 = 1,742.85 : x
  2. Step 2: Convert to fraction form
    3,069.43/4,235.42 = 1,742.85/x
  3. Step 3: Cross multiply
    3,069.43x = 4,235.42 × 1,742.85
  4. Step 4: Simplify right side
    3,069.43x = 7,381,706.10
  5. Step 5: Solve for x
    x = 7,381,706.10/3,069.43
  6. Step 6: Final answer
    x = 2,404.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.