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Finding the Fourth Proportional to 3,970.42, 5,957.35 and 1,890.41

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Solution

The fourth proportional to 3,970.42, 5,957.35 and 1,890.41 is: 2,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.42 : 5,957.35 = 1,890.41 : x
  2. Step 2: Convert to fraction form
    3,970.42/5,957.35 = 1,890.41/x
  3. Step 3: Cross multiply
    3,970.42x = 5,957.35 × 1,890.41
  4. Step 4: Simplify right side
    3,970.42x = 11,261,799.50
  5. Step 5: Solve for x
    x = 11,261,799.50/3,970.42
  6. Step 6: Final answer
    x = 2,836.43

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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.