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Finding the Fourth Proportional to 8,482.86, 12,724.02 and 2,940.30

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Solution

The fourth proportional to 8,482.86, 12,724.02 and 2,940.30 is: 4,410.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.86 : 12,724.02 = 2,940.30 : x
  2. Step 2: Convert to fraction form
    8,482.86/12,724.02 = 2,940.30/x
  3. Step 3: Cross multiply
    8,482.86x = 12,724.02 × 2,940.30
  4. Step 4: Simplify right side
    8,482.86x = 37,412,436.01
  5. Step 5: Solve for x
    x = 37,412,436.01/8,482.86
  6. Step 6: Final answer
    x = 4,410.36

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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.