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Finding the Fourth Proportional to 21,530.88, 32,311.22 and 8,383.32

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Solution

The fourth proportional to 21,530.88, 32,311.22 and 8,383.32 is: 12,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.88 : 32,311.22 = 8,383.32 : x
  2. Step 2: Convert to fraction form
    21,530.88/32,311.22 = 8,383.32/x
  3. Step 3: Cross multiply
    21,530.88x = 32,311.22 × 8,383.32
  4. Step 4: Simplify right side
    21,530.88x = 270,875,254.93
  5. Step 5: Solve for x
    x = 270,875,254.93/21,530.88
  6. Step 6: Final answer
    x = 12,580.78

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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.