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Finding the Fourth Proportional to 21,604.82, 32,407.74 and 5,809.88

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Solution

The fourth proportional to 21,604.82, 32,407.74 and 5,809.88 is: 8,714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,604.82 : 32,407.74 = 5,809.88 : x
  2. Step 2: Convert to fraction form
    21,604.82/32,407.74 = 5,809.88/x
  3. Step 3: Cross multiply
    21,604.82x = 32,407.74 × 5,809.88
  4. Step 4: Simplify right side
    21,604.82x = 188,285,080.47
  5. Step 5: Solve for x
    x = 188,285,080.47/21,604.82
  6. Step 6: Final answer
    x = 8,714.96

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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.