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Finding the Fourth Proportional to 1,871.08, 2,581.03 and 1,171.24

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Solution

The fourth proportional to 1,871.08, 2,581.03 and 1,171.24 is: 1,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.08 : 2,581.03 = 1,171.24 : x
  2. Step 2: Convert to fraction form
    1,871.08/2,581.03 = 1,171.24/x
  3. Step 3: Cross multiply
    1,871.08x = 2,581.03 × 1,171.24
  4. Step 4: Simplify right side
    1,871.08x = 3,022,986.82
  5. Step 5: Solve for x
    x = 3,022,986.82/1,871.08
  6. Step 6: Final answer
    x = 1,615.64

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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.