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Finding the Fourth Proportional to 2,095.69, 3,143.76 and 862.38

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Solution

The fourth proportional to 2,095.69, 3,143.76 and 862.38 is: 1,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.69 : 3,143.76 = 862.38 : x
  2. Step 2: Convert to fraction form
    2,095.69/3,143.76 = 862.38/x
  3. Step 3: Cross multiply
    2,095.69x = 3,143.76 × 862.38
  4. Step 4: Simplify right side
    2,095.69x = 2,711,115.75
  5. Step 5: Solve for x
    x = 2,711,115.75/2,095.69
  6. Step 6: Final answer
    x = 1,293.66

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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.