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Finding the Fourth Proportional to 5,169, 7,766.34 and 3,321

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Solution

The fourth proportional to 5,169, 7,766.34 and 3,321 is: 4,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169 : 7,766.34 = 3,321 : x
  2. Step 2: Convert to fraction form
    5,169/7,766.34 = 3,321/x
  3. Step 3: Cross multiply
    5,169x = 7,766.34 × 3,321
  4. Step 4: Simplify right side
    5,169x = 25,792,015.14
  5. Step 5: Solve for x
    x = 25,792,015.14/5,169
  6. Step 6: Final answer
    x = 4,989.75

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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.