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Finding the Fourth Proportional to 21,345, 32,021.16 and 8,016.84

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Solution

The fourth proportional to 21,345, 32,021.16 and 8,016.84 is: 12,026.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,345 : 32,021.16 = 8,016.84 : x
  2. Step 2: Convert to fraction form
    21,345/32,021.16 = 8,016.84/x
  3. Step 3: Cross multiply
    21,345x = 32,021.16 × 8,016.84
  4. Step 4: Simplify right side
    21,345x = 256,708,516.33
  5. Step 5: Solve for x
    x = 256,708,516.33/21,345
  6. Step 6: Final answer
    x = 12,026.63

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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.