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Finding the Fourth Proportional to 1,840.66, 2,763.42 and 1,432.42

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Solution

The fourth proportional to 1,840.66, 2,763.42 and 1,432.42 is: 2,150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.66 : 2,763.42 = 1,432.42 : x
  2. Step 2: Convert to fraction form
    1,840.66/2,763.42 = 1,432.42/x
  3. Step 3: Cross multiply
    1,840.66x = 2,763.42 × 1,432.42
  4. Step 4: Simplify right side
    1,840.66x = 3,958,365.80
  5. Step 5: Solve for x
    x = 3,958,365.80/1,840.66
  6. Step 6: Final answer
    x = 2,150.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.