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Finding the Fourth Proportional to 1,811.87, 2,717.37 and 837.04

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Solution

The fourth proportional to 1,811.87, 2,717.37 and 837.04 is: 1,255.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.87 : 2,717.37 = 837.04 : x
  2. Step 2: Convert to fraction form
    1,811.87/2,717.37 = 837.04/x
  3. Step 3: Cross multiply
    1,811.87x = 2,717.37 × 837.04
  4. Step 4: Simplify right side
    1,811.87x = 2,274,533.80
  5. Step 5: Solve for x
    x = 2,274,533.80/1,811.87
  6. Step 6: Final answer
    x = 1,255.35

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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.