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Finding the Fourth Proportional to 30,286.88, 45,434.64 and 9,512

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Solution

The fourth proportional to 30,286.88, 45,434.64 and 9,512 is: 14,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.88 : 45,434.64 = 9,512 : x
  2. Step 2: Convert to fraction form
    30,286.88/45,434.64 = 9,512/x
  3. Step 3: Cross multiply
    30,286.88x = 45,434.64 × 9,512
  4. Step 4: Simplify right side
    30,286.88x = 432,174,295.68
  5. Step 5: Solve for x
    x = 432,174,295.68/30,286.88
  6. Step 6: Final answer
    x = 14,269.36

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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.