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Finding the Fourth Proportional to 7,855.68, 11,781 and 7,338

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Solution

The fourth proportional to 7,855.68, 11,781 and 7,338 is: 11,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.68 : 11,781 = 7,338 : x
  2. Step 2: Convert to fraction form
    7,855.68/11,781 = 7,338/x
  3. Step 3: Cross multiply
    7,855.68x = 11,781 × 7,338
  4. Step 4: Simplify right side
    7,855.68x = 86,448,978
  5. Step 5: Solve for x
    x = 86,448,978/7,855.68
  6. Step 6: Final answer
    x = 11,004.65

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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.