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Finding the Fourth Proportional to 4,138.94, 6,205.90 and 1,670.88

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Solution

The fourth proportional to 4,138.94, 6,205.90 and 1,670.88 is: 2,505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.94 : 6,205.90 = 1,670.88 : x
  2. Step 2: Convert to fraction form
    4,138.94/6,205.90 = 1,670.88/x
  3. Step 3: Cross multiply
    4,138.94x = 6,205.90 × 1,670.88
  4. Step 4: Simplify right side
    4,138.94x = 10,369,314.19
  5. Step 5: Solve for x
    x = 10,369,314.19/4,138.94
  6. Step 6: Final answer
    x = 2,505.31

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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.