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Finding the Fourth Proportional to 1,995.42, 2,752.38 and 1,603.38

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Solution

The fourth proportional to 1,995.42, 2,752.38 and 1,603.38 is: 2,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.42 : 2,752.38 = 1,603.38 : x
  2. Step 2: Convert to fraction form
    1,995.42/2,752.38 = 1,603.38/x
  3. Step 3: Cross multiply
    1,995.42x = 2,752.38 × 1,603.38
  4. Step 4: Simplify right side
    1,995.42x = 4,413,111.04
  5. Step 5: Solve for x
    x = 4,413,111.04/1,995.42
  6. Step 6: Final answer
    x = 2,211.62

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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.