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Finding the Fourth Proportional to 1,319.22, 1,967.22 and 1,226.88

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Solution

The fourth proportional to 1,319.22, 1,967.22 and 1,226.88 is: 1,829.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.22 : 1,967.22 = 1,226.88 : x
  2. Step 2: Convert to fraction form
    1,319.22/1,967.22 = 1,226.88/x
  3. Step 3: Cross multiply
    1,319.22x = 1,967.22 × 1,226.88
  4. Step 4: Simplify right side
    1,319.22x = 2,413,542.87
  5. Step 5: Solve for x
    x = 2,413,542.87/1,319.22
  6. Step 6: Final answer
    x = 1,829.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.