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Finding the Fourth Proportional to 2,161.54, 2,958 and 2,116.18

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Solution

The fourth proportional to 2,161.54, 2,958 and 2,116.18 is: 2,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.54 : 2,958 = 2,116.18 : x
  2. Step 2: Convert to fraction form
    2,161.54/2,958 = 2,116.18/x
  3. Step 3: Cross multiply
    2,161.54x = 2,958 × 2,116.18
  4. Step 4: Simplify right side
    2,161.54x = 6,259,660.44
  5. Step 5: Solve for x
    x = 6,259,660.44/2,161.54
  6. Step 6: Final answer
    x = 2,895.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.