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Finding the Fourth Proportional to 2,530.80, 3,794.94 and 886.86

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Solution

The fourth proportional to 2,530.80, 3,794.94 and 886.86 is: 1,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.80 : 3,794.94 = 886.86 : x
  2. Step 2: Convert to fraction form
    2,530.80/3,794.94 = 886.86/x
  3. Step 3: Cross multiply
    2,530.80x = 3,794.94 × 886.86
  4. Step 4: Simplify right side
    2,530.80x = 3,365,580.49
  5. Step 5: Solve for x
    x = 3,365,580.49/2,530.80
  6. Step 6: Final answer
    x = 1,329.85

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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.