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Finding the Fourth Proportional to 2,095.77, 3,143.61 and 862.37

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Solution

The fourth proportional to 2,095.77, 3,143.61 and 862.37 is: 1,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.77 : 3,143.61 = 862.37 : x
  2. Step 2: Convert to fraction form
    2,095.77/3,143.61 = 862.37/x
  3. Step 3: Cross multiply
    2,095.77x = 3,143.61 × 862.37
  4. Step 4: Simplify right side
    2,095.77x = 2,710,954.96
  5. Step 5: Solve for x
    x = 2,710,954.96/2,095.77
  6. Step 6: Final answer
    x = 1,293.54

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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.