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Finding the Fourth Proportional to 2,788.80, 4,183.20 and 1,406.40

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Solution

The fourth proportional to 2,788.80, 4,183.20 and 1,406.40 is: 2,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.80 : 4,183.20 = 1,406.40 : x
  2. Step 2: Convert to fraction form
    2,788.80/4,183.20 = 1,406.40/x
  3. Step 3: Cross multiply
    2,788.80x = 4,183.20 × 1,406.40
  4. Step 4: Simplify right side
    2,788.80x = 5,883,252.48
  5. Step 5: Solve for x
    x = 5,883,252.48/2,788.80
  6. Step 6: Final answer
    x = 2,109.60

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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.