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Finding the Fourth Proportional to 13,483.69, 20,226.98 and 5,170.75

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Solution

The fourth proportional to 13,483.69, 20,226.98 and 5,170.75 is: 7,756.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,483.69 : 20,226.98 = 5,170.75 : x
  2. Step 2: Convert to fraction form
    13,483.69/20,226.98 = 5,170.75/x
  3. Step 3: Cross multiply
    13,483.69x = 20,226.98 × 5,170.75
  4. Step 4: Simplify right side
    13,483.69x = 104,588,656.84
  5. Step 5: Solve for x
    x = 104,588,656.84/13,483.69
  6. Step 6: Final answer
    x = 7,756.68

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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.