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Finding the Fourth Proportional to 21,784.80, 32,688.01 and 8,636.88

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Solution

The fourth proportional to 21,784.80, 32,688.01 and 8,636.88 is: 12,959.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,784.80 : 32,688.01 = 8,636.88 : x
  2. Step 2: Convert to fraction form
    21,784.80/32,688.01 = 8,636.88/x
  3. Step 3: Cross multiply
    21,784.80x = 32,688.01 × 8,636.88
  4. Step 4: Simplify right side
    21,784.80x = 282,322,419.81
  5. Step 5: Solve for x
    x = 282,322,419.81/21,784.80
  6. Step 6: Final answer
    x = 12,959.61

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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.