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Finding the Fourth Proportional to 2,685.14, 3,705.14 and 1,565.99

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Solution

The fourth proportional to 2,685.14, 3,705.14 and 1,565.99 is: 2,160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.14 : 3,705.14 = 1,565.99 : x
  2. Step 2: Convert to fraction form
    2,685.14/3,705.14 = 1,565.99/x
  3. Step 3: Cross multiply
    2,685.14x = 3,705.14 × 1,565.99
  4. Step 4: Simplify right side
    2,685.14x = 5,802,204.36
  5. Step 5: Solve for x
    x = 5,802,204.36/2,685.14
  6. Step 6: Final answer
    x = 2,160.86

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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.