Home / 2,762-3,811.56-2,027.28

Finding the Fourth Proportional to 2,762, 3,811.56 and 2,027.28

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Solution

The fourth proportional to 2,762, 3,811.56 and 2,027.28 is: 2,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762 : 3,811.56 = 2,027.28 : x
  2. Step 2: Convert to fraction form
    2,762/3,811.56 = 2,027.28/x
  3. Step 3: Cross multiply
    2,762x = 3,811.56 × 2,027.28
  4. Step 4: Simplify right side
    2,762x = 7,727,099.36
  5. Step 5: Solve for x
    x = 7,727,099.36/2,762
  6. Step 6: Final answer
    x = 2,797.65

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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.