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Finding the Fourth Proportional to 2,042.83, 3,062.04 and 1,001.62

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Solution

The fourth proportional to 2,042.83, 3,062.04 and 1,001.62 is: 1,501.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.83 : 3,062.04 = 1,001.62 : x
  2. Step 2: Convert to fraction form
    2,042.83/3,062.04 = 1,001.62/x
  3. Step 3: Cross multiply
    2,042.83x = 3,062.04 × 1,001.62
  4. Step 4: Simplify right side
    2,042.83x = 3,067,000.50
  5. Step 5: Solve for x
    x = 3,067,000.50/2,042.83
  6. Step 6: Final answer
    x = 1,501.35

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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.