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Finding the Fourth Proportional to 15,978.25, 23,958.94 and 8,486.01

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Solution

The fourth proportional to 15,978.25, 23,958.94 and 8,486.01 is: 12,724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.25 : 23,958.94 = 8,486.01 : x
  2. Step 2: Convert to fraction form
    15,978.25/23,958.94 = 8,486.01/x
  3. Step 3: Cross multiply
    15,978.25x = 23,958.94 × 8,486.01
  4. Step 4: Simplify right side
    15,978.25x = 203,315,804.43
  5. Step 5: Solve for x
    x = 203,315,804.43/15,978.25
  6. Step 6: Final answer
    x = 12,724.54

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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.