Home / 2,107.82-3,160.65-1,184.01

Finding the Fourth Proportional to 2,107.82, 3,160.65 and 1,184.01

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Solution

The fourth proportional to 2,107.82, 3,160.65 and 1,184.01 is: 1,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.82 : 3,160.65 = 1,184.01 : x
  2. Step 2: Convert to fraction form
    2,107.82/3,160.65 = 1,184.01/x
  3. Step 3: Cross multiply
    2,107.82x = 3,160.65 × 1,184.01
  4. Step 4: Simplify right side
    2,107.82x = 3,742,241.21
  5. Step 5: Solve for x
    x = 3,742,241.21/2,107.82
  6. Step 6: Final answer
    x = 1,775.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.