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Finding the Fourth Proportional to 13,076.80, 19,582.80 and 8,389.60

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Solution

The fourth proportional to 13,076.80, 19,582.80 and 8,389.60 is: 12,563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.80 : 19,582.80 = 8,389.60 : x
  2. Step 2: Convert to fraction form
    13,076.80/19,582.80 = 8,389.60/x
  3. Step 3: Cross multiply
    13,076.80x = 19,582.80 × 8,389.60
  4. Step 4: Simplify right side
    13,076.80x = 164,291,858.88
  5. Step 5: Solve for x
    x = 164,291,858.88/13,076.80
  6. Step 6: Final answer
    x = 12,563.61

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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.