Home / 2,143.12-3,214.72-756.43

Finding the Fourth Proportional to 2,143.12, 3,214.72 and 756.43

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Solution

The fourth proportional to 2,143.12, 3,214.72 and 756.43 is: 1,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.12 : 3,214.72 = 756.43 : x
  2. Step 2: Convert to fraction form
    2,143.12/3,214.72 = 756.43/x
  3. Step 3: Cross multiply
    2,143.12x = 3,214.72 × 756.43
  4. Step 4: Simplify right side
    2,143.12x = 2,431,710.65
  5. Step 5: Solve for x
    x = 2,431,710.65/2,143.12
  6. Step 6: Final answer
    x = 1,134.66

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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.