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Finding the Fourth Proportional to 2,763.92, 3,813.96 and 1,584.80

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Solution

The fourth proportional to 2,763.92, 3,813.96 and 1,584.80 is: 2,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.92 : 3,813.96 = 1,584.80 : x
  2. Step 2: Convert to fraction form
    2,763.92/3,813.96 = 1,584.80/x
  3. Step 3: Cross multiply
    2,763.92x = 3,813.96 × 1,584.80
  4. Step 4: Simplify right side
    2,763.92x = 6,044,363.81
  5. Step 5: Solve for x
    x = 6,044,363.81/2,763.92
  6. Step 6: Final answer
    x = 2,186.88

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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.