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Finding the Fourth Proportional to 13,968.65, 20,959.16 and 5,654.61

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Solution

The fourth proportional to 13,968.65, 20,959.16 and 5,654.61 is: 8,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,968.65 : 20,959.16 = 5,654.61 : x
  2. Step 2: Convert to fraction form
    13,968.65/20,959.16 = 5,654.61/x
  3. Step 3: Cross multiply
    13,968.65x = 20,959.16 × 5,654.61
  4. Step 4: Simplify right side
    13,968.65x = 118,515,847.45
  5. Step 5: Solve for x
    x = 118,515,847.45/13,968.65
  6. Step 6: Final answer
    x = 8,484.42

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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.