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Finding the Fourth Proportional to 1,786.77, 2,460.65 and 1,608.21

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Solution

The fourth proportional to 1,786.77, 2,460.65 and 1,608.21 is: 2,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.77 : 2,460.65 = 1,608.21 : x
  2. Step 2: Convert to fraction form
    1,786.77/2,460.65 = 1,608.21/x
  3. Step 3: Cross multiply
    1,786.77x = 2,460.65 × 1,608.21
  4. Step 4: Simplify right side
    1,786.77x = 3,957,233.90
  5. Step 5: Solve for x
    x = 3,957,233.90/1,786.77
  6. Step 6: Final answer
    x = 2,214.74

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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.