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Finding the Fourth Proportional to 7,811.94, 11,703.20 and 3,858.57

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Solution

The fourth proportional to 7,811.94, 11,703.20 and 3,858.57 is: 5,780.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.94 : 11,703.20 = 3,858.57 : x
  2. Step 2: Convert to fraction form
    7,811.94/11,703.20 = 3,858.57/x
  3. Step 3: Cross multiply
    7,811.94x = 11,703.20 × 3,858.57
  4. Step 4: Simplify right side
    7,811.94x = 45,157,597.13
  5. Step 5: Solve for x
    x = 45,157,597.13/7,811.94
  6. Step 6: Final answer
    x = 5,780.59

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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.