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Finding the Fourth Proportional to 6,761.70, 10,142.55 and 3,651.30

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Solution

The fourth proportional to 6,761.70, 10,142.55 and 3,651.30 is: 5,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.70 : 10,142.55 = 3,651.30 : x
  2. Step 2: Convert to fraction form
    6,761.70/10,142.55 = 3,651.30/x
  3. Step 3: Cross multiply
    6,761.70x = 10,142.55 × 3,651.30
  4. Step 4: Simplify right side
    6,761.70x = 37,033,492.82
  5. Step 5: Solve for x
    x = 37,033,492.82/6,761.70
  6. Step 6: Final answer
    x = 5,476.95

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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.