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Finding the Fourth Proportional to 33,720, 46,533.60 and 18,816

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Solution

The fourth proportional to 33,720, 46,533.60 and 18,816 is: 25,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,720 : 46,533.60 = 18,816 : x
  2. Step 2: Convert to fraction form
    33,720/46,533.60 = 18,816/x
  3. Step 3: Cross multiply
    33,720x = 46,533.60 × 18,816
  4. Step 4: Simplify right side
    33,720x = 875,576,217.60
  5. Step 5: Solve for x
    x = 875,576,217.60/33,720
  6. Step 6: Final answer
    x = 25,966.08

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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.