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Finding the Fourth Proportional to 8,222.92, 12,337.95 and 2,678.00

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Solution

The fourth proportional to 8,222.92, 12,337.95 and 2,678.00 is: 4,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.92 : 12,337.95 = 2,678.00 : x
  2. Step 2: Convert to fraction form
    8,222.92/12,337.95 = 2,678.00/x
  3. Step 3: Cross multiply
    8,222.92x = 12,337.95 × 2,678.00
  4. Step 4: Simplify right side
    8,222.92x = 33,040,978.45
  5. Step 5: Solve for x
    x = 33,040,978.45/8,222.92
  6. Step 6: Final answer
    x = 4,018.16

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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.