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Finding the Fourth Proportional to 7,650.63, 11,469.47 and 4,138.47

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Solution

The fourth proportional to 7,650.63, 11,469.47 and 4,138.47 is: 6,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.63 : 11,469.47 = 4,138.47 : x
  2. Step 2: Convert to fraction form
    7,650.63/11,469.47 = 4,138.47/x
  3. Step 3: Cross multiply
    7,650.63x = 11,469.47 × 4,138.47
  4. Step 4: Simplify right side
    7,650.63x = 47,466,036.82
  5. Step 5: Solve for x
    x = 47,466,036.82/7,650.63
  6. Step 6: Final answer
    x = 6,204.20

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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.