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Finding the Fourth Proportional to 13,172.69, 19,766.84 and 4,858.56

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Solution

The fourth proportional to 13,172.69, 19,766.84 and 4,858.56 is: 7,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.69 : 19,766.84 = 4,858.56 : x
  2. Step 2: Convert to fraction form
    13,172.69/19,766.84 = 4,858.56/x
  3. Step 3: Cross multiply
    13,172.69x = 19,766.84 × 4,858.56
  4. Step 4: Simplify right side
    13,172.69x = 96,038,353.86
  5. Step 5: Solve for x
    x = 96,038,353.86/13,172.69
  6. Step 6: Final answer
    x = 7,290.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.