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Finding the Fourth Proportional to 21,934.72, 32,897.22 and 8,783.56

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Solution

The fourth proportional to 21,934.72, 32,897.22 and 8,783.56 is: 13,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,934.72 : 32,897.22 = 8,783.56 : x
  2. Step 2: Convert to fraction form
    21,934.72/32,897.22 = 8,783.56/x
  3. Step 3: Cross multiply
    21,934.72x = 32,897.22 × 8,783.56
  4. Step 4: Simplify right side
    21,934.72x = 288,954,705.70
  5. Step 5: Solve for x
    x = 288,954,705.70/21,934.72
  6. Step 6: Final answer
    x = 13,173.39

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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.