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Finding the Fourth Proportional to 13,462.50, 20,194.56 and 4,228.50

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Solution

The fourth proportional to 13,462.50, 20,194.56 and 4,228.50 is: 6,343.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.50 : 20,194.56 = 4,228.50 : x
  2. Step 2: Convert to fraction form
    13,462.50/20,194.56 = 4,228.50/x
  3. Step 3: Cross multiply
    13,462.50x = 20,194.56 × 4,228.50
  4. Step 4: Simplify right side
    13,462.50x = 85,392,696.96
  5. Step 5: Solve for x
    x = 85,392,696.96/13,462.50
  6. Step 6: Final answer
    x = 6,343.00

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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.