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Finding the Fourth Proportional to 33,220, 45,843.60 and 18,316

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Solution

The fourth proportional to 33,220, 45,843.60 and 18,316 is: 25,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,220 : 45,843.60 = 18,316 : x
  2. Step 2: Convert to fraction form
    33,220/45,843.60 = 18,316/x
  3. Step 3: Cross multiply
    33,220x = 45,843.60 × 18,316
  4. Step 4: Simplify right side
    33,220x = 839,671,377.60
  5. Step 5: Solve for x
    x = 839,671,377.60/33,220
  6. Step 6: Final answer
    x = 25,276.08

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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.