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Finding the Fourth Proportional to 2,247, 3,370.50 and 785.81

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Solution

The fourth proportional to 2,247, 3,370.50 and 785.81 is: 1,178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247 : 3,370.50 = 785.81 : x
  2. Step 2: Convert to fraction form
    2,247/3,370.50 = 785.81/x
  3. Step 3: Cross multiply
    2,247x = 3,370.50 × 785.81
  4. Step 4: Simplify right side
    2,247x = 2,648,555.75
  5. Step 5: Solve for x
    x = 2,648,555.75/2,247
  6. Step 6: Final answer
    x = 1,178.71

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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.