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Finding the Fourth Proportional to 21,272.08, 31,912 and 6,479.32

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Solution

The fourth proportional to 21,272.08, 31,912 and 6,479.32 is: 9,720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,272.08 : 31,912 = 6,479.32 : x
  2. Step 2: Convert to fraction form
    21,272.08/31,912 = 6,479.32/x
  3. Step 3: Cross multiply
    21,272.08x = 31,912 × 6,479.32
  4. Step 4: Simplify right side
    21,272.08x = 206,768,059.84
  5. Step 5: Solve for x
    x = 206,768,059.84/21,272.08
  6. Step 6: Final answer
    x = 9,720.16

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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.