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Finding the Fourth Proportional to 21,996.84, 32,999.64 and 8,146.92

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Solution

The fourth proportional to 21,996.84, 32,999.64 and 8,146.92 is: 12,222.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,996.84 : 32,999.64 = 8,146.92 : x
  2. Step 2: Convert to fraction form
    21,996.84/32,999.64 = 8,146.92/x
  3. Step 3: Cross multiply
    21,996.84x = 32,999.64 × 8,146.92
  4. Step 4: Simplify right side
    21,996.84x = 268,845,427.11
  5. Step 5: Solve for x
    x = 268,845,427.11/21,996.84
  6. Step 6: Final answer
    x = 12,222.00

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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.