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Finding the Fourth Proportional to 2,990.82, 4,127.04 and 1,664.40

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Solution

The fourth proportional to 2,990.82, 4,127.04 and 1,664.40 is: 2,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.82 : 4,127.04 = 1,664.40 : x
  2. Step 2: Convert to fraction form
    2,990.82/4,127.04 = 1,664.40/x
  3. Step 3: Cross multiply
    2,990.82x = 4,127.04 × 1,664.40
  4. Step 4: Simplify right side
    2,990.82x = 6,869,045.38
  5. Step 5: Solve for x
    x = 6,869,045.38/2,990.82
  6. Step 6: Final answer
    x = 2,296.71

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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.