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Finding the Fourth Proportional to 5,224.54, 7,836.69 and 1,328.95

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Solution

The fourth proportional to 5,224.54, 7,836.69 and 1,328.95 is: 1,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.54 : 7,836.69 = 1,328.95 : x
  2. Step 2: Convert to fraction form
    5,224.54/7,836.69 = 1,328.95/x
  3. Step 3: Cross multiply
    5,224.54x = 7,836.69 × 1,328.95
  4. Step 4: Simplify right side
    5,224.54x = 10,414,569.18
  5. Step 5: Solve for x
    x = 10,414,569.18/5,224.54
  6. Step 6: Final answer
    x = 1,993.39

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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.