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Finding the Fourth Proportional to 3,278, 4,523.64 and 1,785.88

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Solution

The fourth proportional to 3,278, 4,523.64 and 1,785.88 is: 2,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278 : 4,523.64 = 1,785.88 : x
  2. Step 2: Convert to fraction form
    3,278/4,523.64 = 1,785.88/x
  3. Step 3: Cross multiply
    3,278x = 4,523.64 × 1,785.88
  4. Step 4: Simplify right side
    3,278x = 8,078,678.20
  5. Step 5: Solve for x
    x = 8,078,678.20/3,278
  6. Step 6: Final answer
    x = 2,464.51

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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.