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Finding the Fourth Proportional to 1,995, 2,753.07 and 1,110.82

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Solution

The fourth proportional to 1,995, 2,753.07 and 1,110.82 is: 1,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995 : 2,753.07 = 1,110.82 : x
  2. Step 2: Convert to fraction form
    1,995/2,753.07 = 1,110.82/x
  3. Step 3: Cross multiply
    1,995x = 2,753.07 × 1,110.82
  4. Step 4: Simplify right side
    1,995x = 3,058,165.22
  5. Step 5: Solve for x
    x = 3,058,165.22/1,995
  6. Step 6: Final answer
    x = 1,532.91

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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.