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Finding the Fourth Proportional to 2,991.78, 4,127.82 and 1,796.45

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Solution

The fourth proportional to 2,991.78, 4,127.82 and 1,796.45 is: 2,478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.78 : 4,127.82 = 1,796.45 : x
  2. Step 2: Convert to fraction form
    2,991.78/4,127.82 = 1,796.45/x
  3. Step 3: Cross multiply
    2,991.78x = 4,127.82 × 1,796.45
  4. Step 4: Simplify right side
    2,991.78x = 7,415,401.60
  5. Step 5: Solve for x
    x = 7,415,401.60/2,991.78
  6. Step 6: Final answer
    x = 2,478.59

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1.5x scale

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.