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Finding the Fourth Proportional to 3,714, 5,571.18 and 1,405.68

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Solution

The fourth proportional to 3,714, 5,571.18 and 1,405.68 is: 2,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714 : 5,571.18 = 1,405.68 : x
  2. Step 2: Convert to fraction form
    3,714/5,571.18 = 1,405.68/x
  3. Step 3: Cross multiply
    3,714x = 5,571.18 × 1,405.68
  4. Step 4: Simplify right side
    3,714x = 7,831,296.30
  5. Step 5: Solve for x
    x = 7,831,296.30/3,714
  6. Step 6: Final answer
    x = 2,108.59

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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.