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Finding the Fourth Proportional to 21,322.81, 31,984.22 and 6,529.83

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Solution

The fourth proportional to 21,322.81, 31,984.22 and 6,529.83 is: 9,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,322.81 : 31,984.22 = 6,529.83 : x
  2. Step 2: Convert to fraction form
    21,322.81/31,984.22 = 6,529.83/x
  3. Step 3: Cross multiply
    21,322.81x = 31,984.22 × 6,529.83
  4. Step 4: Simplify right side
    21,322.81x = 208,851,558.85
  5. Step 5: Solve for x
    x = 208,851,558.85/21,322.81
  6. Step 6: Final answer
    x = 9,794.75

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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.