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Finding the Fourth Proportional to 21,978.19, 32,959.89 and 7,183.64

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Solution

The fourth proportional to 21,978.19, 32,959.89 and 7,183.64 is: 10,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.19 : 32,959.89 = 7,183.64 : x
  2. Step 2: Convert to fraction form
    21,978.19/32,959.89 = 7,183.64/x
  3. Step 3: Cross multiply
    21,978.19x = 32,959.89 × 7,183.64
  4. Step 4: Simplify right side
    21,978.19x = 236,771,861.00
  5. Step 5: Solve for x
    x = 236,771,861.00/21,978.19
  6. Step 6: Final answer
    x = 10,773.04

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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.