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Finding the Fourth Proportional to 11,831.35, 17,742.17 and 4,432

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Solution

The fourth proportional to 11,831.35, 17,742.17 and 4,432 is: 6,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.35 : 17,742.17 = 4,432 : x
  2. Step 2: Convert to fraction form
    11,831.35/17,742.17 = 4,432/x
  3. Step 3: Cross multiply
    11,831.35x = 17,742.17 × 4,432
  4. Step 4: Simplify right side
    11,831.35x = 78,633,297.44
  5. Step 5: Solve for x
    x = 78,633,297.44/11,831.35
  6. Step 6: Final answer
    x = 6,646.18

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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.