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Finding the Fourth Proportional to 21,702, 32,530.32 and 10,022.88

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Solution

The fourth proportional to 21,702, 32,530.32 and 10,022.88 is: 15,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702 : 32,530.32 = 10,022.88 : x
  2. Step 2: Convert to fraction form
    21,702/32,530.32 = 10,022.88/x
  3. Step 3: Cross multiply
    21,702x = 32,530.32 × 10,022.88
  4. Step 4: Simplify right side
    21,702x = 326,047,493.72
  5. Step 5: Solve for x
    x = 326,047,493.72/21,702
  6. Step 6: Final answer
    x = 15,023.85

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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.