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Finding the Fourth Proportional to 21,772.41, 32,671.67 and 7,922.49

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Solution

The fourth proportional to 21,772.41, 32,671.67 and 7,922.49 is: 11,888.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,772.41 : 32,671.67 = 7,922.49 : x
  2. Step 2: Convert to fraction form
    21,772.41/32,671.67 = 7,922.49/x
  3. Step 3: Cross multiply
    21,772.41x = 32,671.67 × 7,922.49
  4. Step 4: Simplify right side
    21,772.41x = 258,840,939.25
  5. Step 5: Solve for x
    x = 258,840,939.25/21,772.41
  6. Step 6: Final answer
    x = 11,888.48

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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.