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Finding the Fourth Proportional to 3,143, 4,338.42 and 1,901

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Solution

The fourth proportional to 3,143, 4,338.42 and 1,901 is: 2,624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143 : 4,338.42 = 1,901 : x
  2. Step 2: Convert to fraction form
    3,143/4,338.42 = 1,901/x
  3. Step 3: Cross multiply
    3,143x = 4,338.42 × 1,901
  4. Step 4: Simplify right side
    3,143x = 8,247,336.42
  5. Step 5: Solve for x
    x = 8,247,336.42/3,143
  6. Step 6: Final answer
    x = 2,624.03

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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.