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Finding the Fourth Proportional to 1,605.93, 2,213.62 and 1,081.05

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Solution

The fourth proportional to 1,605.93, 2,213.62 and 1,081.05 is: 1,490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.93 : 2,213.62 = 1,081.05 : x
  2. Step 2: Convert to fraction form
    1,605.93/2,213.62 = 1,081.05/x
  3. Step 3: Cross multiply
    1,605.93x = 2,213.62 × 1,081.05
  4. Step 4: Simplify right side
    1,605.93x = 2,393,033.90
  5. Step 5: Solve for x
    x = 2,393,033.90/1,605.93
  6. Step 6: Final answer
    x = 1,490.12

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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.