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Finding the Fourth Proportional to 21,620.81, 32,433.87 and 7,391.64

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Solution

The fourth proportional to 21,620.81, 32,433.87 and 7,391.64 is: 11,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,620.81 : 32,433.87 = 7,391.64 : x
  2. Step 2: Convert to fraction form
    21,620.81/32,433.87 = 7,391.64/x
  3. Step 3: Cross multiply
    21,620.81x = 32,433.87 × 7,391.64
  4. Step 4: Simplify right side
    21,620.81x = 239,739,490.85
  5. Step 5: Solve for x
    x = 239,739,490.85/21,620.81
  6. Step 6: Final answer
    x = 11,088.37

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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.