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Finding the Fourth Proportional to 2,990.78, 4,127.04 and 1,664.27

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Solution

The fourth proportional to 2,990.78, 4,127.04 and 1,664.27 is: 2,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.78 : 4,127.04 = 1,664.27 : x
  2. Step 2: Convert to fraction form
    2,990.78/4,127.04 = 1,664.27/x
  3. Step 3: Cross multiply
    2,990.78x = 4,127.04 × 1,664.27
  4. Step 4: Simplify right side
    2,990.78x = 6,868,488.23
  5. Step 5: Solve for x
    x = 6,868,488.23/2,990.78
  6. Step 6: Final answer
    x = 2,296.56

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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.