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Finding the Fourth Proportional to 21,659.81, 32,481.51 and 8,505

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Solution

The fourth proportional to 21,659.81, 32,481.51 and 8,505 is: 12,754.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,659.81 : 32,481.51 = 8,505 : x
  2. Step 2: Convert to fraction form
    21,659.81/32,481.51 = 8,505/x
  3. Step 3: Cross multiply
    21,659.81x = 32,481.51 × 8,505
  4. Step 4: Simplify right side
    21,659.81x = 276,255,210.66
  5. Step 5: Solve for x
    x = 276,255,210.66/21,659.81
  6. Step 6: Final answer
    x = 12,754.28

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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.