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Finding the Fourth Proportional to 6,650.57, 9,978.14 and 2,271.11

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Solution

The fourth proportional to 6,650.57, 9,978.14 and 2,271.11 is: 3,407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.57 : 9,978.14 = 2,271.11 : x
  2. Step 2: Convert to fraction form
    6,650.57/9,978.14 = 2,271.11/x
  3. Step 3: Cross multiply
    6,650.57x = 9,978.14 × 2,271.11
  4. Step 4: Simplify right side
    6,650.57x = 22,661,453.54
  5. Step 5: Solve for x
    x = 22,661,453.54/6,650.57
  6. Step 6: Final answer
    x = 3,407.45

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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.