Home / 2,107.12-3,161.76-1,134.16

Finding the Fourth Proportional to 2,107.12, 3,161.76 and 1,134.16

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Solution

The fourth proportional to 2,107.12, 3,161.76 and 1,134.16 is: 1,701.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.12 : 3,161.76 = 1,134.16 : x
  2. Step 2: Convert to fraction form
    2,107.12/3,161.76 = 1,134.16/x
  3. Step 3: Cross multiply
    2,107.12x = 3,161.76 × 1,134.16
  4. Step 4: Simplify right side
    2,107.12x = 3,585,941.72
  5. Step 5: Solve for x
    x = 3,585,941.72/2,107.12
  6. Step 6: Final answer
    x = 1,701.82

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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.