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Finding the Fourth Proportional to 2,990.70, 4,127.22 and 1,664.51

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Solution

The fourth proportional to 2,990.70, 4,127.22 and 1,664.51 is: 2,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.70 : 4,127.22 = 1,664.51 : x
  2. Step 2: Convert to fraction form
    2,990.70/4,127.22 = 1,664.51/x
  3. Step 3: Cross multiply
    2,990.70x = 4,127.22 × 1,664.51
  4. Step 4: Simplify right side
    2,990.70x = 6,869,778.33
  5. Step 5: Solve for x
    x = 6,869,778.33/2,990.70
  6. Step 6: Final answer
    x = 2,297.05

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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.