Home / 2,828.32-4,244.08-1,097.12

Finding the Fourth Proportional to 2,828.32, 4,244.08 and 1,097.12

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Solution

The fourth proportional to 2,828.32, 4,244.08 and 1,097.12 is: 1,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.32 : 4,244.08 = 1,097.12 : x
  2. Step 2: Convert to fraction form
    2,828.32/4,244.08 = 1,097.12/x
  3. Step 3: Cross multiply
    2,828.32x = 4,244.08 × 1,097.12
  4. Step 4: Simplify right side
    2,828.32x = 4,656,265.05
  5. Step 5: Solve for x
    x = 4,656,265.05/2,828.32
  6. Step 6: Final answer
    x = 1,646.30

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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.