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Finding the Fourth Proportional to 2,684.98, 3,705.48 and 1,565.97

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Solution

The fourth proportional to 2,684.98, 3,705.48 and 1,565.97 is: 2,161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.98 : 3,705.48 = 1,565.97 : x
  2. Step 2: Convert to fraction form
    2,684.98/3,705.48 = 1,565.97/x
  3. Step 3: Cross multiply
    2,684.98x = 3,705.48 × 1,565.97
  4. Step 4: Simplify right side
    2,684.98x = 5,802,670.52
  5. Step 5: Solve for x
    x = 5,802,670.52/2,684.98
  6. Step 6: Final answer
    x = 2,161.16

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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.