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Finding the Fourth Proportional to 21,096.76, 31,645.10 and 8,622.64

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Solution

The fourth proportional to 21,096.76, 31,645.10 and 8,622.64 is: 12,933.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,096.76 : 31,645.10 = 8,622.64 : x
  2. Step 2: Convert to fraction form
    21,096.76/31,645.10 = 8,622.64/x
  3. Step 3: Cross multiply
    21,096.76x = 31,645.10 × 8,622.64
  4. Step 4: Simplify right side
    21,096.76x = 272,864,305.06
  5. Step 5: Solve for x
    x = 272,864,305.06/21,096.76
  6. Step 6: Final answer
    x = 12,933.94

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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.