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Finding the Fourth Proportional to 2,763.52, 3,810.79 and 2,134.15

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Solution

The fourth proportional to 2,763.52, 3,810.79 and 2,134.15 is: 2,942.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.52 : 3,810.79 = 2,134.15 : x
  2. Step 2: Convert to fraction form
    2,763.52/3,810.79 = 2,134.15/x
  3. Step 3: Cross multiply
    2,763.52x = 3,810.79 × 2,134.15
  4. Step 4: Simplify right side
    2,763.52x = 8,132,767.75
  5. Step 5: Solve for x
    x = 8,132,767.75/2,763.52
  6. Step 6: Final answer
    x = 2,942.91

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