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Finding the Fourth Proportional to 21,474.67, 32,224.56 and 8,993.64

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Solution

The fourth proportional to 21,474.67, 32,224.56 and 8,993.64 is: 13,495.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,474.67 : 32,224.56 = 8,993.64 : x
  2. Step 2: Convert to fraction form
    21,474.67/32,224.56 = 8,993.64/x
  3. Step 3: Cross multiply
    21,474.67x = 32,224.56 × 8,993.64
  4. Step 4: Simplify right side
    21,474.67x = 289,816,091.80
  5. Step 5: Solve for x
    x = 289,816,091.80/21,474.67
  6. Step 6: Final answer
    x = 13,495.72

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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.