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Finding the Fourth Proportional to 22,309.89, 33,420.21 and 13,420.32

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Solution

The fourth proportional to 22,309.89, 33,420.21 and 13,420.32 is: 20,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.89 : 33,420.21 = 13,420.32 : x
  2. Step 2: Convert to fraction form
    22,309.89/33,420.21 = 13,420.32/x
  3. Step 3: Cross multiply
    22,309.89x = 33,420.21 × 13,420.32
  4. Step 4: Simplify right side
    22,309.89x = 448,509,896.88
  5. Step 5: Solve for x
    x = 448,509,896.88/22,309.89
  6. Step 6: Final answer
    x = 20,103.63

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1.5x scale

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.