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Finding the Fourth Proportional to 2,788.80, 4,184.40 and 1,420.80

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Solution

The fourth proportional to 2,788.80, 4,184.40 and 1,420.80 is: 2,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.80 : 4,184.40 = 1,420.80 : x
  2. Step 2: Convert to fraction form
    2,788.80/4,184.40 = 1,420.80/x
  3. Step 3: Cross multiply
    2,788.80x = 4,184.40 × 1,420.80
  4. Step 4: Simplify right side
    2,788.80x = 5,945,195.52
  5. Step 5: Solve for x
    x = 5,945,195.52/2,788.80
  6. Step 6: Final answer
    x = 2,131.81

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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.