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Finding the Fourth Proportional to 33,187.98, 45,778.49 and 19,749.20

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Solution

The fourth proportional to 33,187.98, 45,778.49 and 19,749.20 is: 27,241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,187.98 : 45,778.49 = 19,749.20 : x
  2. Step 2: Convert to fraction form
    33,187.98/45,778.49 = 19,749.20/x
  3. Step 3: Cross multiply
    33,187.98x = 45,778.49 × 19,749.20
  4. Step 4: Simplify right side
    33,187.98x = 904,088,644.47
  5. Step 5: Solve for x
    x = 904,088,644.47/33,187.98
  6. Step 6: Final answer
    x = 27,241.45

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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.