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Finding the Fourth Proportional to 10,333, 15,499.50 and 3,408.04

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Solution

The fourth proportional to 10,333, 15,499.50 and 3,408.04 is: 5,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333 : 15,499.50 = 3,408.04 : x
  2. Step 2: Convert to fraction form
    10,333/15,499.50 = 3,408.04/x
  3. Step 3: Cross multiply
    10,333x = 15,499.50 × 3,408.04
  4. Step 4: Simplify right side
    10,333x = 52,822,915.98
  5. Step 5: Solve for x
    x = 52,822,915.98/10,333
  6. Step 6: Final answer
    x = 5,112.06

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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.