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Finding the Fourth Proportional to 21,342.46, 32,022.91 and 8,865.22

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Solution

The fourth proportional to 21,342.46, 32,022.91 and 8,865.22 is: 13,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,342.46 : 32,022.91 = 8,865.22 : x
  2. Step 2: Convert to fraction form
    21,342.46/32,022.91 = 8,865.22/x
  3. Step 3: Cross multiply
    21,342.46x = 32,022.91 × 8,865.22
  4. Step 4: Simplify right side
    21,342.46x = 283,890,142.19
  5. Step 5: Solve for x
    x = 283,890,142.19/21,342.46
  6. Step 6: Final answer
    x = 13,301.66

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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.