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Finding the Fourth Proportional to 3,903, 5,390.50 and 3,029.40

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Solution

The fourth proportional to 3,903, 5,390.50 and 3,029.40 is: 4,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903 : 5,390.50 = 3,029.40 : x
  2. Step 2: Convert to fraction form
    3,903/5,390.50 = 3,029.40/x
  3. Step 3: Cross multiply
    3,903x = 5,390.50 × 3,029.40
  4. Step 4: Simplify right side
    3,903x = 16,329,980.70
  5. Step 5: Solve for x
    x = 16,329,980.70/3,903
  6. Step 6: Final answer
    x = 4,183.96

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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.