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Finding the Fourth Proportional to 8,427.78, 12,643.16 and 2,879.83

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Solution

The fourth proportional to 8,427.78, 12,643.16 and 2,879.83 is: 4,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.78 : 12,643.16 = 2,879.83 : x
  2. Step 2: Convert to fraction form
    8,427.78/12,643.16 = 2,879.83/x
  3. Step 3: Cross multiply
    8,427.78x = 12,643.16 × 2,879.83
  4. Step 4: Simplify right side
    8,427.78x = 36,410,151.46
  5. Step 5: Solve for x
    x = 36,410,151.46/8,427.78
  6. Step 6: Final answer
    x = 4,320.25

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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.