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Finding the Fourth Proportional to 3,187, 4,780.46 and 2,246.08

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Solution

The fourth proportional to 3,187, 4,780.46 and 2,246.08 is: 3,369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187 : 4,780.46 = 2,246.08 : x
  2. Step 2: Convert to fraction form
    3,187/4,780.46 = 2,246.08/x
  3. Step 3: Cross multiply
    3,187x = 4,780.46 × 2,246.08
  4. Step 4: Simplify right side
    3,187x = 10,737,301.21
  5. Step 5: Solve for x
    x = 10,737,301.21/3,187
  6. Step 6: Final answer
    x = 3,369.09

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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.