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Finding the Fourth Proportional to 2,685.30, 4,022 and 2,064.42

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Solution

The fourth proportional to 2,685.30, 4,022 and 2,064.42 is: 3,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.30 : 4,022 = 2,064.42 : x
  2. Step 2: Convert to fraction form
    2,685.30/4,022 = 2,064.42/x
  3. Step 3: Cross multiply
    2,685.30x = 4,022 × 2,064.42
  4. Step 4: Simplify right side
    2,685.30x = 8,303,097.24
  5. Step 5: Solve for x
    x = 8,303,097.24/2,685.30
  6. Step 6: Final answer
    x = 3,092.06

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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.