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Finding the Fourth Proportional to 2,961, 4,086.54 and 1,719

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Solution

The fourth proportional to 2,961, 4,086.54 and 1,719 is: 2,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961 : 4,086.54 = 1,719 : x
  2. Step 2: Convert to fraction form
    2,961/4,086.54 = 1,719/x
  3. Step 3: Cross multiply
    2,961x = 4,086.54 × 1,719
  4. Step 4: Simplify right side
    2,961x = 7,024,762.26
  5. Step 5: Solve for x
    x = 7,024,762.26/2,961
  6. Step 6: Final answer
    x = 2,372.43

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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.