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Finding the Fourth Proportional to 2,967.76, 4,093.92 and 1,918

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Solution

The fourth proportional to 2,967.76, 4,093.92 and 1,918 is: 2,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.76 : 4,093.92 = 1,918 : x
  2. Step 2: Convert to fraction form
    2,967.76/4,093.92 = 1,918/x
  3. Step 3: Cross multiply
    2,967.76x = 4,093.92 × 1,918
  4. Step 4: Simplify right side
    2,967.76x = 7,852,138.56
  5. Step 5: Solve for x
    x = 7,852,138.56/2,967.76
  6. Step 6: Final answer
    x = 2,645.81

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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.