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Finding the Fourth Proportional to 21,989.34, 32,983.62 and 5,349.27

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Solution

The fourth proportional to 21,989.34, 32,983.62 and 5,349.27 is: 8,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,989.34 : 32,983.62 = 5,349.27 : x
  2. Step 2: Convert to fraction form
    21,989.34/32,983.62 = 5,349.27/x
  3. Step 3: Cross multiply
    21,989.34x = 32,983.62 × 5,349.27
  4. Step 4: Simplify right side
    21,989.34x = 176,438,288.96
  5. Step 5: Solve for x
    x = 176,438,288.96/21,989.34
  6. Step 6: Final answer
    x = 8,023.81

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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.