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Finding the Fourth Proportional to 2,042.68, 3,062.67 and 810.67

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Solution

The fourth proportional to 2,042.68, 3,062.67 and 810.67 is: 1,215.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.68 : 3,062.67 = 810.67 : x
  2. Step 2: Convert to fraction form
    2,042.68/3,062.67 = 810.67/x
  3. Step 3: Cross multiply
    2,042.68x = 3,062.67 × 810.67
  4. Step 4: Simplify right side
    2,042.68x = 2,482,814.69
  5. Step 5: Solve for x
    x = 2,482,814.69/2,042.68
  6. Step 6: Final answer
    x = 1,215.47

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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.