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Finding the Fourth Proportional to 2,866.41, 3,956.49 and 1,871.84

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Solution

The fourth proportional to 2,866.41, 3,956.49 and 1,871.84 is: 2,583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.41 : 3,956.49 = 1,871.84 : x
  2. Step 2: Convert to fraction form
    2,866.41/3,956.49 = 1,871.84/x
  3. Step 3: Cross multiply
    2,866.41x = 3,956.49 × 1,871.84
  4. Step 4: Simplify right side
    2,866.41x = 7,405,896.46
  5. Step 5: Solve for x
    x = 7,405,896.46/2,866.41
  6. Step 6: Final answer
    x = 2,583.68

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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.