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Finding the Fourth Proportional to 2,142.97, 3,214.25 and 756.24

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Solution

The fourth proportional to 2,142.97, 3,214.25 and 756.24 is: 1,134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.97 : 3,214.25 = 756.24 : x
  2. Step 2: Convert to fraction form
    2,142.97/3,214.25 = 756.24/x
  3. Step 3: Cross multiply
    2,142.97x = 3,214.25 × 756.24
  4. Step 4: Simplify right side
    2,142.97x = 2,430,731.42
  5. Step 5: Solve for x
    x = 2,430,731.42/2,142.97
  6. Step 6: Final answer
    x = 1,134.28

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1.5x scale

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.