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Finding the Fourth Proportional to 2,873.52, 4,318.61 and 1,905.80

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Solution

The fourth proportional to 2,873.52, 4,318.61 and 1,905.80 is: 2,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.52 : 4,318.61 = 1,905.80 : x
  2. Step 2: Convert to fraction form
    2,873.52/4,318.61 = 1,905.80/x
  3. Step 3: Cross multiply
    2,873.52x = 4,318.61 × 1,905.80
  4. Step 4: Simplify right side
    2,873.52x = 8,230,375.82
  5. Step 5: Solve for x
    x = 8,230,375.82/2,873.52
  6. Step 6: Final answer
    x = 2,864.21

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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.