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Finding the Fourth Proportional to 1,990.94, 2,749.16 and 1,661.10

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Solution

The fourth proportional to 1,990.94, 2,749.16 and 1,661.10 is: 2,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.94 : 2,749.16 = 1,661.10 : x
  2. Step 2: Convert to fraction form
    1,990.94/2,749.16 = 1,661.10/x
  3. Step 3: Cross multiply
    1,990.94x = 2,749.16 × 1,661.10
  4. Step 4: Simplify right side
    1,990.94x = 4,566,607.62
  5. Step 5: Solve for x
    x = 4,566,607.62/1,990.94
  6. Step 6: Final answer
    x = 2,293.69

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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.