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Finding the Fourth Proportional to 21,672.56, 32,495.26 and 8,509.64

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Solution

The fourth proportional to 21,672.56, 32,495.26 and 8,509.64 is: 12,759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,672.56 : 32,495.26 = 8,509.64 : x
  2. Step 2: Convert to fraction form
    21,672.56/32,495.26 = 8,509.64/x
  3. Step 3: Cross multiply
    21,672.56x = 32,495.26 × 8,509.64
  4. Step 4: Simplify right side
    21,672.56x = 276,522,964.31
  5. Step 5: Solve for x
    x = 276,522,964.31/21,672.56
  6. Step 6: Final answer
    x = 12,759.13

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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.