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Finding the Fourth Proportional to 2,865.86, 3,951.34 and 1,855.90

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Solution

The fourth proportional to 2,865.86, 3,951.34 and 1,855.90 is: 2,558.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.86 : 3,951.34 = 1,855.90 : x
  2. Step 2: Convert to fraction form
    2,865.86/3,951.34 = 1,855.90/x
  3. Step 3: Cross multiply
    2,865.86x = 3,951.34 × 1,855.90
  4. Step 4: Simplify right side
    2,865.86x = 7,333,291.91
  5. Step 5: Solve for x
    x = 7,333,291.91/2,865.86
  6. Step 6: Final answer
    x = 2,558.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.