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Finding the Fourth Proportional to 1,722.80, 2,578.80 and 1,236.80

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Solution

The fourth proportional to 1,722.80, 2,578.80 and 1,236.80 is: 1,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.80 : 2,578.80 = 1,236.80 : x
  2. Step 2: Convert to fraction form
    1,722.80/2,578.80 = 1,236.80/x
  3. Step 3: Cross multiply
    1,722.80x = 2,578.80 × 1,236.80
  4. Step 4: Simplify right side
    1,722.80x = 3,189,459.84
  5. Step 5: Solve for x
    x = 3,189,459.84/1,722.80
  6. Step 6: Final answer
    x = 1,851.32

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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.