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Finding the Fourth Proportional to 29,705.93, 40,978.86 and 20,142.59

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Solution

The fourth proportional to 29,705.93, 40,978.86 and 20,142.59 is: 27,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,705.93 : 40,978.86 = 20,142.59 : x
  2. Step 2: Convert to fraction form
    29,705.93/40,978.86 = 20,142.59/x
  3. Step 3: Cross multiply
    29,705.93x = 40,978.86 × 20,142.59
  4. Step 4: Simplify right side
    29,705.93x = 825,420,170.75
  5. Step 5: Solve for x
    x = 825,420,170.75/29,705.93
  6. Step 6: Final answer
    x = 27,786.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.