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Finding the Fourth Proportional to 2,179.32, 3,005.40 and 1,392

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Solution

The fourth proportional to 2,179.32, 3,005.40 and 1,392 is: 1,919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.32 : 3,005.40 = 1,392 : x
  2. Step 2: Convert to fraction form
    2,179.32/3,005.40 = 1,392/x
  3. Step 3: Cross multiply
    2,179.32x = 3,005.40 × 1,392
  4. Step 4: Simplify right side
    2,179.32x = 4,183,516.80
  5. Step 5: Solve for x
    x = 4,183,516.80/2,179.32
  6. Step 6: Final answer
    x = 1,919.64

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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.