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Finding the Fourth Proportional to 30,415.54, 45,589.22 and 19,905.78

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Solution

The fourth proportional to 30,415.54, 45,589.22 and 19,905.78 is: 29,836.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.54 : 45,589.22 = 19,905.78 : x
  2. Step 2: Convert to fraction form
    30,415.54/45,589.22 = 19,905.78/x
  3. Step 3: Cross multiply
    30,415.54x = 45,589.22 × 19,905.78
  4. Step 4: Simplify right side
    30,415.54x = 907,488,983.69
  5. Step 5: Solve for x
    x = 907,488,983.69/30,415.54
  6. Step 6: Final answer
    x = 29,836.36

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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.