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Finding the Fourth Proportional to 3,992.76, 5,989.55 and 1,071.36

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Solution

The fourth proportional to 3,992.76, 5,989.55 and 1,071.36 is: 1,607.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.76 : 5,989.55 = 1,071.36 : x
  2. Step 2: Convert to fraction form
    3,992.76/5,989.55 = 1,071.36/x
  3. Step 3: Cross multiply
    3,992.76x = 5,989.55 × 1,071.36
  4. Step 4: Simplify right side
    3,992.76x = 6,416,958.93
  5. Step 5: Solve for x
    x = 6,416,958.93/3,992.76
  6. Step 6: Final answer
    x = 1,607.15

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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.