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Finding the Fourth Proportional to 33,830.80, 50,746.20 and 13,054.30

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Solution

The fourth proportional to 33,830.80, 50,746.20 and 13,054.30 is: 19,581.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.80 : 50,746.20 = 13,054.30 : x
  2. Step 2: Convert to fraction form
    33,830.80/50,746.20 = 13,054.30/x
  3. Step 3: Cross multiply
    33,830.80x = 50,746.20 × 13,054.30
  4. Step 4: Simplify right side
    33,830.80x = 662,456,118.66
  5. Step 5: Solve for x
    x = 662,456,118.66/33,830.80
  6. Step 6: Final answer
    x = 19,581.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.