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Finding the Fourth Proportional to 3,868.06, 5,802.52 and 1,271.02

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Solution

The fourth proportional to 3,868.06, 5,802.52 and 1,271.02 is: 1,906.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.06 : 5,802.52 = 1,271.02 : x
  2. Step 2: Convert to fraction form
    3,868.06/5,802.52 = 1,271.02/x
  3. Step 3: Cross multiply
    3,868.06x = 5,802.52 × 1,271.02
  4. Step 4: Simplify right side
    3,868.06x = 7,375,118.97
  5. Step 5: Solve for x
    x = 7,375,118.97/3,868.06
  6. Step 6: Final answer
    x = 1,906.67

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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.