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Finding the Fourth Proportional to 1,778.85, 2,681.62 and 1,659.92

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Solution

The fourth proportional to 1,778.85, 2,681.62 and 1,659.92 is: 2,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.85 : 2,681.62 = 1,659.92 : x
  2. Step 2: Convert to fraction form
    1,778.85/2,681.62 = 1,659.92/x
  3. Step 3: Cross multiply
    1,778.85x = 2,681.62 × 1,659.92
  4. Step 4: Simplify right side
    1,778.85x = 4,451,257.11
  5. Step 5: Solve for x
    x = 4,451,257.11/1,778.85
  6. Step 6: Final answer
    x = 2,502.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.