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Finding the Fourth Proportional to 21,881.76, 32,770.32 and 12,619.68

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Solution

The fourth proportional to 21,881.76, 32,770.32 and 12,619.68 is: 18,899.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,881.76 : 32,770.32 = 12,619.68 : x
  2. Step 2: Convert to fraction form
    21,881.76/32,770.32 = 12,619.68/x
  3. Step 3: Cross multiply
    21,881.76x = 32,770.32 × 12,619.68
  4. Step 4: Simplify right side
    21,881.76x = 413,550,951.90
  5. Step 5: Solve for x
    x = 413,550,951.90/21,881.76
  6. Step 6: Final answer
    x = 18,899.35

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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.