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Finding the Fourth Proportional to 1,861.14, 2,786.04 and 1,511.22

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Solution

The fourth proportional to 1,861.14, 2,786.04 and 1,511.22 is: 2,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.14 : 2,786.04 = 1,511.22 : x
  2. Step 2: Convert to fraction form
    1,861.14/2,786.04 = 1,511.22/x
  3. Step 3: Cross multiply
    1,861.14x = 2,786.04 × 1,511.22
  4. Step 4: Simplify right side
    1,861.14x = 4,210,319.37
  5. Step 5: Solve for x
    x = 4,210,319.37/1,861.14
  6. Step 6: Final answer
    x = 2,262.23

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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.