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Finding the Fourth Proportional to 2,031, 3,042.54 and 1,057.80

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Solution

The fourth proportional to 2,031, 3,042.54 and 1,057.80 is: 1,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031 : 3,042.54 = 1,057.80 : x
  2. Step 2: Convert to fraction form
    2,031/3,042.54 = 1,057.80/x
  3. Step 3: Cross multiply
    2,031x = 3,042.54 × 1,057.80
  4. Step 4: Simplify right side
    2,031x = 3,218,398.81
  5. Step 5: Solve for x
    x = 3,218,398.81/2,031
  6. Step 6: Final answer
    x = 1,584.64

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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.