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Finding the Fourth Proportional to 5,071.72, 7,608.06 and 1,993

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Solution

The fourth proportional to 5,071.72, 7,608.06 and 1,993 is: 2,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.72 : 7,608.06 = 1,993 : x
  2. Step 2: Convert to fraction form
    5,071.72/7,608.06 = 1,993/x
  3. Step 3: Cross multiply
    5,071.72x = 7,608.06 × 1,993
  4. Step 4: Simplify right side
    5,071.72x = 15,162,863.58
  5. Step 5: Solve for x
    x = 15,162,863.58/5,071.72
  6. Step 6: Final answer
    x = 2,989.69

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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.