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Finding the Fourth Proportional to 8,546.74, 12,821.47 and 3,281.54

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Solution

The fourth proportional to 8,546.74, 12,821.47 and 3,281.54 is: 4,922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.74 : 12,821.47 = 3,281.54 : x
  2. Step 2: Convert to fraction form
    8,546.74/12,821.47 = 3,281.54/x
  3. Step 3: Cross multiply
    8,546.74x = 12,821.47 × 3,281.54
  4. Step 4: Simplify right side
    8,546.74x = 42,074,094.35
  5. Step 5: Solve for x
    x = 42,074,094.35/8,546.74
  6. Step 6: Final answer
    x = 4,922.83

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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.