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Finding the Fourth Proportional to 1,794, 2,681.38 and 1,617.90

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Solution

The fourth proportional to 1,794, 2,681.38 and 1,617.90 is: 2,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794 : 2,681.38 = 1,617.90 : x
  2. Step 2: Convert to fraction form
    1,794/2,681.38 = 1,617.90/x
  3. Step 3: Cross multiply
    1,794x = 2,681.38 × 1,617.90
  4. Step 4: Simplify right side
    1,794x = 4,338,196.61
  5. Step 5: Solve for x
    x = 4,338,196.61/1,794
  6. Step 6: Final answer
    x = 2,418.17

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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.