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Finding the Fourth Proportional to 21,774.44, 32,656.80 and 8,629.76

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Solution

The fourth proportional to 21,774.44, 32,656.80 and 8,629.76 is: 12,942.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.44 : 32,656.80 = 8,629.76 : x
  2. Step 2: Convert to fraction form
    21,774.44/32,656.80 = 8,629.76/x
  3. Step 3: Cross multiply
    21,774.44x = 32,656.80 × 8,629.76
  4. Step 4: Simplify right side
    21,774.44x = 281,820,346.37
  5. Step 5: Solve for x
    x = 281,820,346.37/21,774.44
  6. Step 6: Final answer
    x = 12,942.71

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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.