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Finding the Fourth Proportional to 2,151, 3,220.38 and 1,418.34

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Solution

The fourth proportional to 2,151, 3,220.38 and 1,418.34 is: 2,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151 : 3,220.38 = 1,418.34 : x
  2. Step 2: Convert to fraction form
    2,151/3,220.38 = 1,418.34/x
  3. Step 3: Cross multiply
    2,151x = 3,220.38 × 1,418.34
  4. Step 4: Simplify right side
    2,151x = 4,567,593.77
  5. Step 5: Solve for x
    x = 4,567,593.77/2,151
  6. Step 6: Final answer
    x = 2,123.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.