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Finding the Fourth Proportional to 1,808.76, 2,722.26 and 1,629.84

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Solution

The fourth proportional to 1,808.76, 2,722.26 and 1,629.84 is: 2,452.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.76 : 2,722.26 = 1,629.84 : x
  2. Step 2: Convert to fraction form
    1,808.76/2,722.26 = 1,629.84/x
  3. Step 3: Cross multiply
    1,808.76x = 2,722.26 × 1,629.84
  4. Step 4: Simplify right side
    1,808.76x = 4,436,848.24
  5. Step 5: Solve for x
    x = 4,436,848.24/1,808.76
  6. Step 6: Final answer
    x = 2,452.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.