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Finding the Fourth Proportional to 8,490.78, 12,736.98 and 3,297.06

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Solution

The fourth proportional to 8,490.78, 12,736.98 and 3,297.06 is: 4,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.78 : 12,736.98 = 3,297.06 : x
  2. Step 2: Convert to fraction form
    8,490.78/12,736.98 = 3,297.06/x
  3. Step 3: Cross multiply
    8,490.78x = 12,736.98 × 3,297.06
  4. Step 4: Simplify right side
    8,490.78x = 41,994,587.28
  5. Step 5: Solve for x
    x = 41,994,587.28/8,490.78
  6. Step 6: Final answer
    x = 4,945.90

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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.