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Finding the Fourth Proportional to 1,612.93, 2,226.62 and 1,081.62

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Solution

The fourth proportional to 1,612.93, 2,226.62 and 1,081.62 is: 1,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.93 : 2,226.62 = 1,081.62 : x
  2. Step 2: Convert to fraction form
    1,612.93/2,226.62 = 1,081.62/x
  3. Step 3: Cross multiply
    1,612.93x = 2,226.62 × 1,081.62
  4. Step 4: Simplify right side
    1,612.93x = 2,408,355.89
  5. Step 5: Solve for x
    x = 2,408,355.89/1,612.93
  6. Step 6: Final answer
    x = 1,493.16

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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.