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Finding the Fourth Proportional to 2,042.83, 3,065.25 and 810.21

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Solution

The fourth proportional to 2,042.83, 3,065.25 and 810.21 is: 1,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.83 : 3,065.25 = 810.21 : x
  2. Step 2: Convert to fraction form
    2,042.83/3,065.25 = 810.21/x
  3. Step 3: Cross multiply
    2,042.83x = 3,065.25 × 810.21
  4. Step 4: Simplify right side
    2,042.83x = 2,483,496.20
  5. Step 5: Solve for x
    x = 2,483,496.20/2,042.83
  6. Step 6: Final answer
    x = 1,215.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.