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Finding the Fourth Proportional to 2,745.82, 4,117.69 and 990.36

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Solution

The fourth proportional to 2,745.82, 4,117.69 and 990.36 is: 1,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.82 : 4,117.69 = 990.36 : x
  2. Step 2: Convert to fraction form
    2,745.82/4,117.69 = 990.36/x
  3. Step 3: Cross multiply
    2,745.82x = 4,117.69 × 990.36
  4. Step 4: Simplify right side
    2,745.82x = 4,077,995.47
  5. Step 5: Solve for x
    x = 4,077,995.47/2,745.82
  6. Step 6: Final answer
    x = 1,485.16

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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.