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Finding the Fourth Proportional to 2,866.37, 3,956.42 and 1,871.80

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Solution

The fourth proportional to 2,866.37, 3,956.42 and 1,871.80 is: 2,583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.37 : 3,956.42 = 1,871.80 : x
  2. Step 2: Convert to fraction form
    2,866.37/3,956.42 = 1,871.80/x
  3. Step 3: Cross multiply
    2,866.37x = 3,956.42 × 1,871.80
  4. Step 4: Simplify right side
    2,866.37x = 7,405,621.74
  5. Step 5: Solve for x
    x = 7,405,621.74/2,866.37
  6. Step 6: Final answer
    x = 2,583.63

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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.