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Finding the Fourth Proportional to 2,584.80, 3,875.04 and 1,285.92

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Solution

The fourth proportional to 2,584.80, 3,875.04 and 1,285.92 is: 1,927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.80 : 3,875.04 = 1,285.92 : x
  2. Step 2: Convert to fraction form
    2,584.80/3,875.04 = 1,285.92/x
  3. Step 3: Cross multiply
    2,584.80x = 3,875.04 × 1,285.92
  4. Step 4: Simplify right side
    2,584.80x = 4,982,991.44
  5. Step 5: Solve for x
    x = 4,982,991.44/2,584.80
  6. Step 6: Final answer
    x = 1,927.81

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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.