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Finding the Fourth Proportional to 21,299.78, 31,964.61 and 8,820.02

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Solution

The fourth proportional to 21,299.78, 31,964.61 and 8,820.02 is: 13,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,299.78 : 31,964.61 = 8,820.02 : x
  2. Step 2: Convert to fraction form
    21,299.78/31,964.61 = 8,820.02/x
  3. Step 3: Cross multiply
    21,299.78x = 31,964.61 × 8,820.02
  4. Step 4: Simplify right side
    21,299.78x = 281,928,499.49
  5. Step 5: Solve for x
    x = 281,928,499.49/21,299.78
  6. Step 6: Final answer
    x = 13,236.22

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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.