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Finding the Fourth Proportional to 17,978.94, 26,967.24 and 8,625.60

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Solution

The fourth proportional to 17,978.94, 26,967.24 and 8,625.60 is: 12,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978.94 : 26,967.24 = 8,625.60 : x
  2. Step 2: Convert to fraction form
    17,978.94/26,967.24 = 8,625.60/x
  3. Step 3: Cross multiply
    17,978.94x = 26,967.24 × 8,625.60
  4. Step 4: Simplify right side
    17,978.94x = 232,608,625.34
  5. Step 5: Solve for x
    x = 232,608,625.34/17,978.94
  6. Step 6: Final answer
    x = 12,937.84

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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.