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Finding the Fourth Proportional to 30,286.36, 45,435.21 and 9,505

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Solution

The fourth proportional to 30,286.36, 45,435.21 and 9,505 is: 14,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.36 : 45,435.21 = 9,505 : x
  2. Step 2: Convert to fraction form
    30,286.36/45,435.21 = 9,505/x
  3. Step 3: Cross multiply
    30,286.36x = 45,435.21 × 9,505
  4. Step 4: Simplify right side
    30,286.36x = 431,861,671.05
  5. Step 5: Solve for x
    x = 431,861,671.05/30,286.36
  6. Step 6: Final answer
    x = 14,259.28

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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.