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Finding the Fourth Proportional to 3,886.77, 5,822.06 and 1,808.57

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Solution

The fourth proportional to 3,886.77, 5,822.06 and 1,808.57 is: 2,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.77 : 5,822.06 = 1,808.57 : x
  2. Step 2: Convert to fraction form
    3,886.77/5,822.06 = 1,808.57/x
  3. Step 3: Cross multiply
    3,886.77x = 5,822.06 × 1,808.57
  4. Step 4: Simplify right side
    3,886.77x = 10,529,603.05
  5. Step 5: Solve for x
    x = 10,529,603.05/3,886.77
  6. Step 6: Final answer
    x = 2,709.09

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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.