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Finding the Fourth Proportional to 2,825.66, 3,902.10 and 2,287.82

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Solution

The fourth proportional to 2,825.66, 3,902.10 and 2,287.82 is: 3,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.66 : 3,902.10 = 2,287.82 : x
  2. Step 2: Convert to fraction form
    2,825.66/3,902.10 = 2,287.82/x
  3. Step 3: Cross multiply
    2,825.66x = 3,902.10 × 2,287.82
  4. Step 4: Simplify right side
    2,825.66x = 8,927,302.42
  5. Step 5: Solve for x
    x = 8,927,302.42/2,825.66
  6. Step 6: Final answer
    x = 3,159.37

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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.