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Finding the Fourth Proportional to 2,898.66, 3,999.67 and 1,639.42

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Solution

The fourth proportional to 2,898.66, 3,999.67 and 1,639.42 is: 2,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.66 : 3,999.67 = 1,639.42 : x
  2. Step 2: Convert to fraction form
    2,898.66/3,999.67 = 1,639.42/x
  3. Step 3: Cross multiply
    2,898.66x = 3,999.67 × 1,639.42
  4. Step 4: Simplify right side
    2,898.66x = 6,557,138.99
  5. Step 5: Solve for x
    x = 6,557,138.99/2,898.66
  6. Step 6: Final answer
    x = 2,262.13

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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.