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Finding the Fourth Proportional to 7,762.96, 11,648.22 and 3,867.94

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Solution

The fourth proportional to 7,762.96, 11,648.22 and 3,867.94 is: 5,803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.96 : 11,648.22 = 3,867.94 : x
  2. Step 2: Convert to fraction form
    7,762.96/11,648.22 = 3,867.94/x
  3. Step 3: Cross multiply
    7,762.96x = 11,648.22 × 3,867.94
  4. Step 4: Simplify right side
    7,762.96x = 45,054,616.07
  5. Step 5: Solve for x
    x = 45,054,616.07/7,762.96
  6. Step 6: Final answer
    x = 5,803.79

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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.