Home / 5,112.97-7,669.63-1,414.89

Finding the Fourth Proportional to 5,112.97, 7,669.63 and 1,414.89

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Solution

The fourth proportional to 5,112.97, 7,669.63 and 1,414.89 is: 2,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.97 : 7,669.63 = 1,414.89 : x
  2. Step 2: Convert to fraction form
    5,112.97/7,669.63 = 1,414.89/x
  3. Step 3: Cross multiply
    5,112.97x = 7,669.63 × 1,414.89
  4. Step 4: Simplify right side
    5,112.97x = 10,851,701.96
  5. Step 5: Solve for x
    x = 10,851,701.96/5,112.97
  6. Step 6: Final answer
    x = 2,122.39

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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.