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Finding the Fourth Proportional to 2,245.08, 3,367.86 and 783.84

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Solution

The fourth proportional to 2,245.08, 3,367.86 and 783.84 is: 1,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.08 : 3,367.86 = 783.84 : x
  2. Step 2: Convert to fraction form
    2,245.08/3,367.86 = 783.84/x
  3. Step 3: Cross multiply
    2,245.08x = 3,367.86 × 783.84
  4. Step 4: Simplify right side
    2,245.08x = 2,639,863.38
  5. Step 5: Solve for x
    x = 2,639,863.38/2,245.08
  6. Step 6: Final answer
    x = 1,175.84

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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.