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Finding the Fourth Proportional to 30,082.88, 45,128.70 and 9,308

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Solution

The fourth proportional to 30,082.88, 45,128.70 and 9,308 is: 13,963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082.88 : 45,128.70 = 9,308 : x
  2. Step 2: Convert to fraction form
    30,082.88/45,128.70 = 9,308/x
  3. Step 3: Cross multiply
    30,082.88x = 45,128.70 × 9,308
  4. Step 4: Simplify right side
    30,082.88x = 420,057,939.60
  5. Step 5: Solve for x
    x = 420,057,939.60/30,082.88
  6. Step 6: Final answer
    x = 13,963.36

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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.