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Finding the Fourth Proportional to 3,994.39, 5,990.76 and 1,072

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Solution

The fourth proportional to 3,994.39, 5,990.76 and 1,072 is: 1,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.39 : 5,990.76 = 1,072 : x
  2. Step 2: Convert to fraction form
    3,994.39/5,990.76 = 1,072/x
  3. Step 3: Cross multiply
    3,994.39x = 5,990.76 × 1,072
  4. Step 4: Simplify right side
    3,994.39x = 6,422,094.72
  5. Step 5: Solve for x
    x = 6,422,094.72/3,994.39
  6. Step 6: Final answer
    x = 1,607.78

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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.