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Finding the Fourth Proportional to 7,878.22, 11,811.48 and 3,715.87

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Solution

The fourth proportional to 7,878.22, 11,811.48 and 3,715.87 is: 5,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.22 : 11,811.48 = 3,715.87 : x
  2. Step 2: Convert to fraction form
    7,878.22/11,811.48 = 3,715.87/x
  3. Step 3: Cross multiply
    7,878.22x = 11,811.48 × 3,715.87
  4. Step 4: Simplify right side
    7,878.22x = 43,889,924.19
  5. Step 5: Solve for x
    x = 43,889,924.19/7,878.22
  6. Step 6: Final answer
    x = 5,571.05

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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.