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Finding the Fourth Proportional to 21,774.22, 32,651.97 and 6,978.22

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Solution

The fourth proportional to 21,774.22, 32,651.97 and 6,978.22 is: 10,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.22 : 32,651.97 = 6,978.22 : x
  2. Step 2: Convert to fraction form
    21,774.22/32,651.97 = 6,978.22/x
  3. Step 3: Cross multiply
    21,774.22x = 32,651.97 × 6,978.22
  4. Step 4: Simplify right side
    21,774.22x = 227,852,630.09
  5. Step 5: Solve for x
    x = 227,852,630.09/21,774.22
  6. Step 6: Final answer
    x = 10,464.33

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1.5x scale

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.