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Finding the Fourth Proportional to 21,978.44, 32,972.21 and 8,831.84

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Solution

The fourth proportional to 21,978.44, 32,972.21 and 8,831.84 is: 13,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.44 : 32,972.21 = 8,831.84 : x
  2. Step 2: Convert to fraction form
    21,978.44/32,972.21 = 8,831.84/x
  3. Step 3: Cross multiply
    21,978.44x = 32,972.21 × 8,831.84
  4. Step 4: Simplify right side
    21,978.44x = 291,205,156.94
  5. Step 5: Solve for x
    x = 291,205,156.94/21,978.44
  6. Step 6: Final answer
    x = 13,249.58

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1.5x scale

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.