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Finding the Fourth Proportional to 2,073.64, 3,109.48 and 756.46

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Solution

The fourth proportional to 2,073.64, 3,109.48 and 756.46 is: 1,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.64 : 3,109.48 = 756.46 : x
  2. Step 2: Convert to fraction form
    2,073.64/3,109.48 = 756.46/x
  3. Step 3: Cross multiply
    2,073.64x = 3,109.48 × 756.46
  4. Step 4: Simplify right side
    2,073.64x = 2,352,197.24
  5. Step 5: Solve for x
    x = 2,352,197.24/2,073.64
  6. Step 6: Final answer
    x = 1,134.33

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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.