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Finding the Fourth Proportional to 2,634.61, 3,951.96 and 1,905.61

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Solution

The fourth proportional to 2,634.61, 3,951.96 and 1,905.61 is: 2,858.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.61 : 3,951.96 = 1,905.61 : x
  2. Step 2: Convert to fraction form
    2,634.61/3,951.96 = 1,905.61/x
  3. Step 3: Cross multiply
    2,634.61x = 3,951.96 × 1,905.61
  4. Step 4: Simplify right side
    2,634.61x = 7,530,894.50
  5. Step 5: Solve for x
    x = 7,530,894.50/2,634.61
  6. Step 6: Final answer
    x = 2,858.45

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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.