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Finding the Fourth Proportional to 2,015.80, 2,782 and 1,131.68

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Solution

The fourth proportional to 2,015.80, 2,782 and 1,131.68 is: 1,561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.80 : 2,782 = 1,131.68 : x
  2. Step 2: Convert to fraction form
    2,015.80/2,782 = 1,131.68/x
  3. Step 3: Cross multiply
    2,015.80x = 2,782 × 1,131.68
  4. Step 4: Simplify right side
    2,015.80x = 3,148,333.76
  5. Step 5: Solve for x
    x = 3,148,333.76/2,015.80
  6. Step 6: Final answer
    x = 1,561.83

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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.