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Finding the Fourth Proportional to 8,278, 12,417.72 and 2,122

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Solution

The fourth proportional to 8,278, 12,417.72 and 2,122 is: 3,183.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278 : 12,417.72 = 2,122 : x
  2. Step 2: Convert to fraction form
    8,278/12,417.72 = 2,122/x
  3. Step 3: Cross multiply
    8,278x = 12,417.72 × 2,122
  4. Step 4: Simplify right side
    8,278x = 26,350,401.84
  5. Step 5: Solve for x
    x = 26,350,401.84/8,278
  6. Step 6: Final answer
    x = 3,183.18

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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.