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Finding the Fourth Proportional to 6,226, 8,592.02 and 3,431.50

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Solution

The fourth proportional to 6,226, 8,592.02 and 3,431.50 is: 4,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226 : 8,592.02 = 3,431.50 : x
  2. Step 2: Convert to fraction form
    6,226/8,592.02 = 3,431.50/x
  3. Step 3: Cross multiply
    6,226x = 8,592.02 × 3,431.50
  4. Step 4: Simplify right side
    6,226x = 29,483,499.47
  5. Step 5: Solve for x
    x = 29,483,499.47/6,226
  6. Step 6: Final answer
    x = 4,735.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.