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Finding the Fourth Proportional to 8,278, 12,416.90 and 3,347.60

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Solution

The fourth proportional to 8,278, 12,416.90 and 3,347.60 is: 5,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278 : 12,416.90 = 3,347.60 : x
  2. Step 2: Convert to fraction form
    8,278/12,416.90 = 3,347.60/x
  3. Step 3: Cross multiply
    8,278x = 12,416.90 × 3,347.60
  4. Step 4: Simplify right side
    8,278x = 41,566,814.44
  5. Step 5: Solve for x
    x = 41,566,814.44/8,278
  6. Step 6: Final answer
    x = 5,021.36

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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.