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Finding the Fourth Proportional to 1,311.87, 1,811.92 and 869

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Solution

The fourth proportional to 1,311.87, 1,811.92 and 869 is: 1,200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.87 : 1,811.92 = 869 : x
  2. Step 2: Convert to fraction form
    1,311.87/1,811.92 = 869/x
  3. Step 3: Cross multiply
    1,311.87x = 1,811.92 × 869
  4. Step 4: Simplify right side
    1,311.87x = 1,574,558.48
  5. Step 5: Solve for x
    x = 1,574,558.48/1,311.87
  6. Step 6: Final answer
    x = 1,200.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.