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Finding the Fourth Proportional to 2,758.85, 3,807.25 and 1,579.92

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Solution

The fourth proportional to 2,758.85, 3,807.25 and 1,579.92 is: 2,180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.85 : 3,807.25 = 1,579.92 : x
  2. Step 2: Convert to fraction form
    2,758.85/3,807.25 = 1,579.92/x
  3. Step 3: Cross multiply
    2,758.85x = 3,807.25 × 1,579.92
  4. Step 4: Simplify right side
    2,758.85x = 6,015,162.50
  5. Step 5: Solve for x
    x = 6,015,162.50/2,758.85
  6. Step 6: Final answer
    x = 2,180.31

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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.