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Finding the Fourth Proportional to 21,672.16, 32,502.64 and 8,524.60

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Solution

The fourth proportional to 21,672.16, 32,502.64 and 8,524.60 is: 12,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,672.16 : 32,502.64 = 8,524.60 : x
  2. Step 2: Convert to fraction form
    21,672.16/32,502.64 = 8,524.60/x
  3. Step 3: Cross multiply
    21,672.16x = 32,502.64 × 8,524.60
  4. Step 4: Simplify right side
    21,672.16x = 277,072,004.94
  5. Step 5: Solve for x
    x = 277,072,004.94/21,672.16
  6. Step 6: Final answer
    x = 12,784.70

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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.