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Finding the Fourth Proportional to 30,073.88, 45,115.16 and 9,299

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Solution

The fourth proportional to 30,073.88, 45,115.16 and 9,299 is: 13,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,073.88 : 45,115.16 = 9,299 : x
  2. Step 2: Convert to fraction form
    30,073.88/45,115.16 = 9,299/x
  3. Step 3: Cross multiply
    30,073.88x = 45,115.16 × 9,299
  4. Step 4: Simplify right side
    30,073.88x = 419,525,872.84
  5. Step 5: Solve for x
    x = 419,525,872.84/30,073.88
  6. Step 6: Final answer
    x = 13,949.84

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1.5x scale

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.