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Finding the Fourth Proportional to 3,743, 5,615.31 and 1,434.50

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Solution

The fourth proportional to 3,743, 5,615.31 and 1,434.50 is: 2,152.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743 : 5,615.31 = 1,434.50 : x
  2. Step 2: Convert to fraction form
    3,743/5,615.31 = 1,434.50/x
  3. Step 3: Cross multiply
    3,743x = 5,615.31 × 1,434.50
  4. Step 4: Simplify right side
    3,743x = 8,055,162.20
  5. Step 5: Solve for x
    x = 8,055,162.20/3,743
  6. Step 6: Final answer
    x = 2,152.06

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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.