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Finding the Fourth Proportional to 13,573.70, 20,361 and 6,456.44

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Solution

The fourth proportional to 13,573.70, 20,361 and 6,456.44 is: 9,684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.70 : 20,361 = 6,456.44 : x
  2. Step 2: Convert to fraction form
    13,573.70/20,361 = 6,456.44/x
  3. Step 3: Cross multiply
    13,573.70x = 20,361 × 6,456.44
  4. Step 4: Simplify right side
    13,573.70x = 131,459,574.84
  5. Step 5: Solve for x
    x = 131,459,574.84/13,573.70
  6. Step 6: Final answer
    x = 9,684.87

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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.