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Finding the Fourth Proportional to 2,247.08, 3,370.86 and 785.84

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Solution

The fourth proportional to 2,247.08, 3,370.86 and 785.84 is: 1,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.08 : 3,370.86 = 785.84 : x
  2. Step 2: Convert to fraction form
    2,247.08/3,370.86 = 785.84/x
  3. Step 3: Cross multiply
    2,247.08x = 3,370.86 × 785.84
  4. Step 4: Simplify right side
    2,247.08x = 2,648,956.62
  5. Step 5: Solve for x
    x = 2,648,956.62/2,247.08
  6. Step 6: Final answer
    x = 1,178.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.