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Finding the Fourth Proportional to 12,650.56, 18,975.80 and 3,416.56

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Solution

The fourth proportional to 12,650.56, 18,975.80 and 3,416.56 is: 5,124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650.56 : 18,975.80 = 3,416.56 : x
  2. Step 2: Convert to fraction form
    12,650.56/18,975.80 = 3,416.56/x
  3. Step 3: Cross multiply
    12,650.56x = 18,975.80 × 3,416.56
  4. Step 4: Simplify right side
    12,650.56x = 64,831,959.25
  5. Step 5: Solve for x
    x = 64,831,959.25/12,650.56
  6. Step 6: Final answer
    x = 5,124.83

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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.