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Finding the Fourth Proportional to 1,906.22, 2,860.55 and 931.79

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Solution

The fourth proportional to 1,906.22, 2,860.55 and 931.79 is: 1,398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.22 : 2,860.55 = 931.79 : x
  2. Step 2: Convert to fraction form
    1,906.22/2,860.55 = 931.79/x
  3. Step 3: Cross multiply
    1,906.22x = 2,860.55 × 931.79
  4. Step 4: Simplify right side
    1,906.22x = 2,665,412.92
  5. Step 5: Solve for x
    x = 2,665,412.92/1,906.22
  6. Step 6: Final answer
    x = 1,398.28

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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.