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Finding the Fourth Proportional to 14,644, 21,968.78 and 5,879.60

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Solution

The fourth proportional to 14,644, 21,968.78 and 5,879.60 is: 8,820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644 : 21,968.78 = 5,879.60 : x
  2. Step 2: Convert to fraction form
    14,644/21,968.78 = 5,879.60/x
  3. Step 3: Cross multiply
    14,644x = 21,968.78 × 5,879.60
  4. Step 4: Simplify right side
    14,644x = 129,167,638.89
  5. Step 5: Solve for x
    x = 129,167,638.89/14,644
  6. Step 6: Final answer
    x = 8,820.52

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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.