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Finding the Fourth Proportional to 2,334, 3,220.93 and 1,389.83

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Solution

The fourth proportional to 2,334, 3,220.93 and 1,389.83 is: 1,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334 : 3,220.93 = 1,389.83 : x
  2. Step 2: Convert to fraction form
    2,334/3,220.93 = 1,389.83/x
  3. Step 3: Cross multiply
    2,334x = 3,220.93 × 1,389.83
  4. Step 4: Simplify right side
    2,334x = 4,476,529.04
  5. Step 5: Solve for x
    x = 4,476,529.04/2,334
  6. Step 6: Final answer
    x = 1,917.96

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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.