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Finding the Fourth Proportional to 2,823.70, 4,239.60 and 2,208.10

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Solution

The fourth proportional to 2,823.70, 4,239.60 and 2,208.10 is: 3,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.70 : 4,239.60 = 2,208.10 : x
  2. Step 2: Convert to fraction form
    2,823.70/4,239.60 = 2,208.10/x
  3. Step 3: Cross multiply
    2,823.70x = 4,239.60 × 2,208.10
  4. Step 4: Simplify right side
    2,823.70x = 9,361,460.76
  5. Step 5: Solve for x
    x = 9,361,460.76/2,823.70
  6. Step 6: Final answer
    x = 3,315.32

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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.