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Finding the Fourth Proportional to 8,546.78, 12,821.88 and 3,616.40

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Solution

The fourth proportional to 8,546.78, 12,821.88 and 3,616.40 is: 5,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.78 : 12,821.88 = 3,616.40 : x
  2. Step 2: Convert to fraction form
    8,546.78/12,821.88 = 3,616.40/x
  3. Step 3: Cross multiply
    8,546.78x = 12,821.88 × 3,616.40
  4. Step 4: Simplify right side
    8,546.78x = 46,369,046.83
  5. Step 5: Solve for x
    x = 46,369,046.83/8,546.78
  6. Step 6: Final answer
    x = 5,425.32

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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.