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Finding the Fourth Proportional to 30,553.20, 45,821.70 and 10,829.70

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Solution

The fourth proportional to 30,553.20, 45,821.70 and 10,829.70 is: 16,241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,553.20 : 45,821.70 = 10,829.70 : x
  2. Step 2: Convert to fraction form
    30,553.20/45,821.70 = 10,829.70/x
  3. Step 3: Cross multiply
    30,553.20x = 45,821.70 × 10,829.70
  4. Step 4: Simplify right side
    30,553.20x = 496,235,264.49
  5. Step 5: Solve for x
    x = 496,235,264.49/30,553.20
  6. Step 6: Final answer
    x = 16,241.68

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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.