Home / 3,102.82-4,281.64-1,776.22

Finding the Fourth Proportional to 3,102.82, 4,281.64 and 1,776.22

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Solution

The fourth proportional to 3,102.82, 4,281.64 and 1,776.22 is: 2,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.82 : 4,281.64 = 1,776.22 : x
  2. Step 2: Convert to fraction form
    3,102.82/4,281.64 = 1,776.22/x
  3. Step 3: Cross multiply
    3,102.82x = 4,281.64 × 1,776.22
  4. Step 4: Simplify right side
    3,102.82x = 7,605,134.60
  5. Step 5: Solve for x
    x = 7,605,134.60/3,102.82
  6. Step 6: Final answer
    x = 2,451.04

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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.