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Finding the Fourth Proportional to 7,839.62, 11,762.48 and 3,453.98

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Solution

The fourth proportional to 7,839.62, 11,762.48 and 3,453.98 is: 5,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.62 : 11,762.48 = 3,453.98 : x
  2. Step 2: Convert to fraction form
    7,839.62/11,762.48 = 3,453.98/x
  3. Step 3: Cross multiply
    7,839.62x = 11,762.48 × 3,453.98
  4. Step 4: Simplify right side
    7,839.62x = 40,627,408.71
  5. Step 5: Solve for x
    x = 40,627,408.71/7,839.62
  6. Step 6: Final answer
    x = 5,182.32

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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.