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Finding the Fourth Proportional to 1,999.65, 2,995.38 and 1,175.43

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Solution

The fourth proportional to 1,999.65, 2,995.38 and 1,175.43 is: 1,760.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.65 : 2,995.38 = 1,175.43 : x
  2. Step 2: Convert to fraction form
    1,999.65/2,995.38 = 1,175.43/x
  3. Step 3: Cross multiply
    1,999.65x = 2,995.38 × 1,175.43
  4. Step 4: Simplify right side
    1,999.65x = 3,520,859.51
  5. Step 5: Solve for x
    x = 3,520,859.51/1,999.65
  6. Step 6: Final answer
    x = 1,760.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.