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Finding the Fourth Proportional to 4,138.90, 6,205.59 and 1,505.90

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Solution

The fourth proportional to 4,138.90, 6,205.59 and 1,505.90 is: 2,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.90 : 6,205.59 = 1,505.90 : x
  2. Step 2: Convert to fraction form
    4,138.90/6,205.59 = 1,505.90/x
  3. Step 3: Cross multiply
    4,138.90x = 6,205.59 × 1,505.90
  4. Step 4: Simplify right side
    4,138.90x = 9,344,997.98
  5. Step 5: Solve for x
    x = 9,344,997.98/4,138.90
  6. Step 6: Final answer
    x = 2,257.85

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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.