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Finding the Fourth Proportional to 8,478.78, 12,723.03 and 3,285.06

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Solution

The fourth proportional to 8,478.78, 12,723.03 and 3,285.06 is: 4,929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.78 : 12,723.03 = 3,285.06 : x
  2. Step 2: Convert to fraction form
    8,478.78/12,723.03 = 3,285.06/x
  3. Step 3: Cross multiply
    8,478.78x = 12,723.03 × 3,285.06
  4. Step 4: Simplify right side
    8,478.78x = 41,795,916.93
  5. Step 5: Solve for x
    x = 41,795,916.93/8,478.78
  6. Step 6: Final answer
    x = 4,929.47

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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.