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Finding the Fourth Proportional to 3,712.42, 5,571.45 and 1,374.64

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Solution

The fourth proportional to 3,712.42, 5,571.45 and 1,374.64 is: 2,063.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.42 : 5,571.45 = 1,374.64 : x
  2. Step 2: Convert to fraction form
    3,712.42/5,571.45 = 1,374.64/x
  3. Step 3: Cross multiply
    3,712.42x = 5,571.45 × 1,374.64
  4. Step 4: Simplify right side
    3,712.42x = 7,658,738.03
  5. Step 5: Solve for x
    x = 7,658,738.03/3,712.42
  6. Step 6: Final answer
    x = 2,063.00

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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.