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Finding the Fourth Proportional to 33,686.54, 50,508.21 and 13,978.70

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Solution

The fourth proportional to 33,686.54, 50,508.21 and 13,978.70 is: 20,959.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,686.54 : 50,508.21 = 13,978.70 : x
  2. Step 2: Convert to fraction form
    33,686.54/50,508.21 = 13,978.70/x
  3. Step 3: Cross multiply
    33,686.54x = 50,508.21 × 13,978.70
  4. Step 4: Simplify right side
    33,686.54x = 706,039,115.13
  5. Step 5: Solve for x
    x = 706,039,115.13/33,686.54
  6. Step 6: Final answer
    x = 20,959.09

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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.