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Finding the Fourth Proportional to 4,138, 6,206.97 and 1,672.79

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Solution

The fourth proportional to 4,138, 6,206.97 and 1,672.79 is: 2,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138 : 6,206.97 = 1,672.79 : x
  2. Step 2: Convert to fraction form
    4,138/6,206.97 = 1,672.79/x
  3. Step 3: Cross multiply
    4,138x = 6,206.97 × 1,672.79
  4. Step 4: Simplify right side
    4,138x = 10,382,957.35
  5. Step 5: Solve for x
    x = 10,382,957.35/4,138
  6. Step 6: Final answer
    x = 2,509.17

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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.