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Finding the Fourth Proportional to 21,982.97, 32,974 and 5,343.10

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Solution

The fourth proportional to 21,982.97, 32,974 and 5,343.10 is: 8,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982.97 : 32,974 = 5,343.10 : x
  2. Step 2: Convert to fraction form
    21,982.97/32,974 = 5,343.10/x
  3. Step 3: Cross multiply
    21,982.97x = 32,974 × 5,343.10
  4. Step 4: Simplify right side
    21,982.97x = 176,183,379.40
  5. Step 5: Solve for x
    x = 176,183,379.40/21,982.97
  6. Step 6: Final answer
    x = 8,014.54

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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.