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Finding the Fourth Proportional to 30,107.91, 45,164.45 and 7,921.41

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Solution

The fourth proportional to 30,107.91, 45,164.45 and 7,921.41 is: 11,882.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,107.91 : 45,164.45 = 7,921.41 : x
  2. Step 2: Convert to fraction form
    30,107.91/45,164.45 = 7,921.41/x
  3. Step 3: Cross multiply
    30,107.91x = 45,164.45 × 7,921.41
  4. Step 4: Simplify right side
    30,107.91x = 357,765,976.31
  5. Step 5: Solve for x
    x = 357,765,976.31/30,107.91
  6. Step 6: Final answer
    x = 11,882.79

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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.