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Finding the Fourth Proportional to 2,727.29, 4,090.90 and 752.94

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Solution

The fourth proportional to 2,727.29, 4,090.90 and 752.94 is: 1,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.29 : 4,090.90 = 752.94 : x
  2. Step 2: Convert to fraction form
    2,727.29/4,090.90 = 752.94/x
  3. Step 3: Cross multiply
    2,727.29x = 4,090.90 × 752.94
  4. Step 4: Simplify right side
    2,727.29x = 3,080,202.25
  5. Step 5: Solve for x
    x = 3,080,202.25/2,727.29
  6. Step 6: Final answer
    x = 1,129.40

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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.