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Finding the Fourth Proportional to 2,920.86, 4,367.94 and 2,181

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Solution

The fourth proportional to 2,920.86, 4,367.94 and 2,181 is: 3,261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.86 : 4,367.94 = 2,181 : x
  2. Step 2: Convert to fraction form
    2,920.86/4,367.94 = 2,181/x
  3. Step 3: Cross multiply
    2,920.86x = 4,367.94 × 2,181
  4. Step 4: Simplify right side
    2,920.86x = 9,526,477.14
  5. Step 5: Solve for x
    x = 9,526,477.14/2,920.86
  6. Step 6: Final answer
    x = 3,261.53

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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.