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Finding the Fourth Proportional to 6,546.24, 9,819.60 and 1,929.60

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Solution

The fourth proportional to 6,546.24, 9,819.60 and 1,929.60 is: 2,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.24 : 9,819.60 = 1,929.60 : x
  2. Step 2: Convert to fraction form
    6,546.24/9,819.60 = 1,929.60/x
  3. Step 3: Cross multiply
    6,546.24x = 9,819.60 × 1,929.60
  4. Step 4: Simplify right side
    6,546.24x = 18,947,900.16
  5. Step 5: Solve for x
    x = 18,947,900.16/6,546.24
  6. Step 6: Final answer
    x = 2,894.47

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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.