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Finding the Fourth Proportional to 1,871.64, 2,583.42 and 1,208.48

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Solution

The fourth proportional to 1,871.64, 2,583.42 and 1,208.48 is: 1,668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.64 : 2,583.42 = 1,208.48 : x
  2. Step 2: Convert to fraction form
    1,871.64/2,583.42 = 1,208.48/x
  3. Step 3: Cross multiply
    1,871.64x = 2,583.42 × 1,208.48
  4. Step 4: Simplify right side
    1,871.64x = 3,122,011.40
  5. Step 5: Solve for x
    x = 3,122,011.40/1,871.64
  6. Step 6: Final answer
    x = 1,668.06

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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.