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Finding the Fourth Proportional to 7,650.45, 11,466.09 and 4,140.45

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Solution

The fourth proportional to 7,650.45, 11,466.09 and 4,140.45 is: 6,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.45 : 11,466.09 = 4,140.45 : x
  2. Step 2: Convert to fraction form
    7,650.45/11,466.09 = 4,140.45/x
  3. Step 3: Cross multiply
    7,650.45x = 11,466.09 × 4,140.45
  4. Step 4: Simplify right side
    7,650.45x = 47,474,772.34
  5. Step 5: Solve for x
    x = 47,474,772.34/7,650.45
  6. Step 6: Final answer
    x = 6,205.49

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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.