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Finding the Fourth Proportional to 3,161.62, 4,363 and 1,745.32

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Solution

The fourth proportional to 3,161.62, 4,363 and 1,745.32 is: 2,408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.62 : 4,363 = 1,745.32 : x
  2. Step 2: Convert to fraction form
    3,161.62/4,363 = 1,745.32/x
  3. Step 3: Cross multiply
    3,161.62x = 4,363 × 1,745.32
  4. Step 4: Simplify right side
    3,161.62x = 7,614,831.16
  5. Step 5: Solve for x
    x = 7,614,831.16/3,161.62
  6. Step 6: Final answer
    x = 2,408.52

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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.