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Finding the Fourth Proportional to 15,978.36, 23,972.26 and 8,192.60

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Solution

The fourth proportional to 15,978.36, 23,972.26 and 8,192.60 is: 12,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.36 : 23,972.26 = 8,192.60 : x
  2. Step 2: Convert to fraction form
    15,978.36/23,972.26 = 8,192.60/x
  3. Step 3: Cross multiply
    15,978.36x = 23,972.26 × 8,192.60
  4. Step 4: Simplify right side
    15,978.36x = 196,395,137.28
  5. Step 5: Solve for x
    x = 196,395,137.28/15,978.36
  6. Step 6: Final answer
    x = 12,291.32

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1.5x scale

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.