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Finding the Fourth Proportional to 3,192, 4,783.80 and 1,546.32

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Solution

The fourth proportional to 3,192, 4,783.80 and 1,546.32 is: 2,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192 : 4,783.80 = 1,546.32 : x
  2. Step 2: Convert to fraction form
    3,192/4,783.80 = 1,546.32/x
  3. Step 3: Cross multiply
    3,192x = 4,783.80 × 1,546.32
  4. Step 4: Simplify right side
    3,192x = 7,397,285.62
  5. Step 5: Solve for x
    x = 7,397,285.62/3,192
  6. Step 6: Final answer
    x = 2,317.45

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Why These Related Problems?

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