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Finding the Fourth Proportional to 21,789.84, 32,664.96 and 8,649.84

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Solution

The fourth proportional to 21,789.84, 32,664.96 and 8,649.84 is: 12,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,789.84 : 32,664.96 = 8,649.84 : x
  2. Step 2: Convert to fraction form
    21,789.84/32,664.96 = 8,649.84/x
  3. Step 3: Cross multiply
    21,789.84x = 32,664.96 × 8,649.84
  4. Step 4: Simplify right side
    21,789.84x = 282,546,677.61
  5. Step 5: Solve for x
    x = 282,546,677.61/21,789.84
  6. Step 6: Final answer
    x = 12,966.90

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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.