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Finding the Fourth Proportional to 2,179.64, 3,007.88 and 1,184.88

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Solution

The fourth proportional to 2,179.64, 3,007.88 and 1,184.88 is: 1,635.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.64 : 3,007.88 = 1,184.88 : x
  2. Step 2: Convert to fraction form
    2,179.64/3,007.88 = 1,184.88/x
  3. Step 3: Cross multiply
    2,179.64x = 3,007.88 × 1,184.88
  4. Step 4: Simplify right side
    2,179.64x = 3,563,976.85
  5. Step 5: Solve for x
    x = 3,563,976.85/2,179.64
  6. Step 6: Final answer
    x = 1,635.12

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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.