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Finding the Fourth Proportional to 22,003.68, 33,006.96 and 6,420

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Solution

The fourth proportional to 22,003.68, 33,006.96 and 6,420 is: 9,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,003.68 : 33,006.96 = 6,420 : x
  2. Step 2: Convert to fraction form
    22,003.68/33,006.96 = 6,420/x
  3. Step 3: Cross multiply
    22,003.68x = 33,006.96 × 6,420
  4. Step 4: Simplify right side
    22,003.68x = 211,904,683.20
  5. Step 5: Solve for x
    x = 211,904,683.20/22,003.68
  6. Step 6: Final answer
    x = 9,630.42

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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.