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Finding the Fourth Proportional to 7,271.90, 10,911.90 and 3,111.20

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Solution

The fourth proportional to 7,271.90, 10,911.90 and 3,111.20 is: 4,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.90 : 10,911.90 = 3,111.20 : x
  2. Step 2: Convert to fraction form
    7,271.90/10,911.90 = 3,111.20/x
  3. Step 3: Cross multiply
    7,271.90x = 10,911.90 × 3,111.20
  4. Step 4: Simplify right side
    7,271.90x = 33,949,103.28
  5. Step 5: Solve for x
    x = 33,949,103.28/7,271.90
  6. Step 6: Final answer
    x = 4,668.53

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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.