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Finding the Fourth Proportional to 13,300.46, 19,968.93 and 8,355.41

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Solution

The fourth proportional to 13,300.46, 19,968.93 and 8,355.41 is: 12,544.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,300.46 : 19,968.93 = 8,355.41 : x
  2. Step 2: Convert to fraction form
    13,300.46/19,968.93 = 8,355.41/x
  3. Step 3: Cross multiply
    13,300.46x = 19,968.93 × 8,355.41
  4. Step 4: Simplify right side
    13,300.46x = 166,848,597.41
  5. Step 5: Solve for x
    x = 166,848,597.41/13,300.46
  6. Step 6: Final answer
    x = 12,544.57

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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.