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Finding the Fourth Proportional to 1,811.88, 2,500.74 and 1,149.48

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Solution

The fourth proportional to 1,811.88, 2,500.74 and 1,149.48 is: 1,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.88 : 2,500.74 = 1,149.48 : x
  2. Step 2: Convert to fraction form
    1,811.88/2,500.74 = 1,149.48/x
  3. Step 3: Cross multiply
    1,811.88x = 2,500.74 × 1,149.48
  4. Step 4: Simplify right side
    1,811.88x = 2,874,550.62
  5. Step 5: Solve for x
    x = 2,874,550.62/1,811.88
  6. Step 6: Final answer
    x = 1,586.50

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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.