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Finding the Fourth Proportional to 13,978.72, 20,968.08 and 3,590.48

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Solution

The fourth proportional to 13,978.72, 20,968.08 and 3,590.48 is: 5,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.72 : 20,968.08 = 3,590.48 : x
  2. Step 2: Convert to fraction form
    13,978.72/20,968.08 = 3,590.48/x
  3. Step 3: Cross multiply
    13,978.72x = 20,968.08 × 3,590.48
  4. Step 4: Simplify right side
    13,978.72x = 75,285,471.88
  5. Step 5: Solve for x
    x = 75,285,471.88/13,978.72
  6. Step 6: Final answer
    x = 5,385.72

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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.