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Finding the Fourth Proportional to 2,888.43, 3,985.97 and 1,629.46

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Solution

The fourth proportional to 2,888.43, 3,985.97 and 1,629.46 is: 2,248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.43 : 3,985.97 = 1,629.46 : x
  2. Step 2: Convert to fraction form
    2,888.43/3,985.97 = 1,629.46/x
  3. Step 3: Cross multiply
    2,888.43x = 3,985.97 × 1,629.46
  4. Step 4: Simplify right side
    2,888.43x = 6,494,978.68
  5. Step 5: Solve for x
    x = 6,494,978.68/2,888.43
  6. Step 6: Final answer
    x = 2,248.62

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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.