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Finding the Fourth Proportional to 3,278, 4,523.58 and 1,785.94

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Solution

The fourth proportional to 3,278, 4,523.58 and 1,785.94 is: 2,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278 : 4,523.58 = 1,785.94 : x
  2. Step 2: Convert to fraction form
    3,278/4,523.58 = 1,785.94/x
  3. Step 3: Cross multiply
    3,278x = 4,523.58 × 1,785.94
  4. Step 4: Simplify right side
    3,278x = 8,078,842.47
  5. Step 5: Solve for x
    x = 8,078,842.47/3,278
  6. Step 6: Final answer
    x = 2,464.56

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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.