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Finding the Fourth Proportional to 3,007.80, 4,149.72 and 1,828.44

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Solution

The fourth proportional to 3,007.80, 4,149.72 and 1,828.44 is: 2,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.80 : 4,149.72 = 1,828.44 : x
  2. Step 2: Convert to fraction form
    3,007.80/4,149.72 = 1,828.44/x
  3. Step 3: Cross multiply
    3,007.80x = 4,149.72 × 1,828.44
  4. Step 4: Simplify right side
    3,007.80x = 7,587,514.04
  5. Step 5: Solve for x
    x = 7,587,514.04/3,007.80
  6. Step 6: Final answer
    x = 2,522.61

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1.5x scale

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.