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Finding the Fourth Proportional to 2,005.14, 3,005.62 and 754.88

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Solution

The fourth proportional to 2,005.14, 3,005.62 and 754.88 is: 1,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.14 : 3,005.62 = 754.88 : x
  2. Step 2: Convert to fraction form
    2,005.14/3,005.62 = 754.88/x
  3. Step 3: Cross multiply
    2,005.14x = 3,005.62 × 754.88
  4. Step 4: Simplify right side
    2,005.14x = 2,268,873.04
  5. Step 5: Solve for x
    x = 2,268,873.04/2,005.14
  6. Step 6: Final answer
    x = 1,131.53

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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.