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Finding the Fourth Proportional to 1,661.96, 2,293.10 and 1,219.08

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Solution

The fourth proportional to 1,661.96, 2,293.10 and 1,219.08 is: 1,682.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.96 : 2,293.10 = 1,219.08 : x
  2. Step 2: Convert to fraction form
    1,661.96/2,293.10 = 1,219.08/x
  3. Step 3: Cross multiply
    1,661.96x = 2,293.10 × 1,219.08
  4. Step 4: Simplify right side
    1,661.96x = 2,795,466.25
  5. Step 5: Solve for x
    x = 2,795,466.25/1,661.96
  6. Step 6: Final answer
    x = 1,682.03

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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.