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Finding the Fourth Proportional to 1,786.68, 2,677.68 and 1,566.75

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Solution

The fourth proportional to 1,786.68, 2,677.68 and 1,566.75 is: 2,348.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.68 : 2,677.68 = 1,566.75 : x
  2. Step 2: Convert to fraction form
    1,786.68/2,677.68 = 1,566.75/x
  3. Step 3: Cross multiply
    1,786.68x = 2,677.68 × 1,566.75
  4. Step 4: Simplify right side
    1,786.68x = 4,195,255.14
  5. Step 5: Solve for x
    x = 4,195,255.14/1,786.68
  6. Step 6: Final answer
    x = 2,348.07

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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.