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Finding the Fourth Proportional to 1,819.44, 2,509.11 and 1,223.28

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Solution

The fourth proportional to 1,819.44, 2,509.11 and 1,223.28 is: 1,686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.44 : 2,509.11 = 1,223.28 : x
  2. Step 2: Convert to fraction form
    1,819.44/2,509.11 = 1,223.28/x
  3. Step 3: Cross multiply
    1,819.44x = 2,509.11 × 1,223.28
  4. Step 4: Simplify right side
    1,819.44x = 3,069,344.08
  5. Step 5: Solve for x
    x = 3,069,344.08/1,819.44
  6. Step 6: Final answer
    x = 1,686.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.