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Finding the Fourth Proportional to 1,881.36, 2,822.44 and 785.83

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Solution

The fourth proportional to 1,881.36, 2,822.44 and 785.83 is: 1,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.36 : 2,822.44 = 785.83 : x
  2. Step 2: Convert to fraction form
    1,881.36/2,822.44 = 785.83/x
  3. Step 3: Cross multiply
    1,881.36x = 2,822.44 × 785.83
  4. Step 4: Simplify right side
    1,881.36x = 2,217,958.03
  5. Step 5: Solve for x
    x = 2,217,958.03/1,881.36
  6. Step 6: Final answer
    x = 1,178.91

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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.