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Finding the Fourth Proportional to 2,823.90, 4,239.90 and 2,005.80

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Solution

The fourth proportional to 2,823.90, 4,239.90 and 2,005.80 is: 3,011.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.90 : 4,239.90 = 2,005.80 : x
  2. Step 2: Convert to fraction form
    2,823.90/4,239.90 = 2,005.80/x
  3. Step 3: Cross multiply
    2,823.90x = 4,239.90 × 2,005.80
  4. Step 4: Simplify right side
    2,823.90x = 8,504,391.42
  5. Step 5: Solve for x
    x = 8,504,391.42/2,823.90
  6. Step 6: Final answer
    x = 3,011.58

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1.5x scale

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.