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Finding the Fourth Proportional to 30,295.38, 45,436 and 11,568.54

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Solution

The fourth proportional to 30,295.38, 45,436 and 11,568.54 is: 17,350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,295.38 : 45,436 = 11,568.54 : x
  2. Step 2: Convert to fraction form
    30,295.38/45,436 = 11,568.54/x
  3. Step 3: Cross multiply
    30,295.38x = 45,436 × 11,568.54
  4. Step 4: Simplify right side
    30,295.38x = 525,628,183.44
  5. Step 5: Solve for x
    x = 525,628,183.44/30,295.38
  6. Step 6: Final answer
    x = 17,350.11

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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.