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Finding the Fourth Proportional to 7,858.90, 11,794.43 and 5,393.67

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Solution

The fourth proportional to 7,858.90, 11,794.43 and 5,393.67 is: 8,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.90 : 11,794.43 = 5,393.67 : x
  2. Step 2: Convert to fraction form
    7,858.90/11,794.43 = 5,393.67/x
  3. Step 3: Cross multiply
    7,858.90x = 11,794.43 × 5,393.67
  4. Step 4: Simplify right side
    7,858.90x = 63,615,263.26
  5. Step 5: Solve for x
    x = 63,615,263.26/7,858.90
  6. Step 6: Final answer
    x = 8,094.68

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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.