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Finding the Fourth Proportional to 3,606.94, 4,978.35 and 2,279.80

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Solution

The fourth proportional to 3,606.94, 4,978.35 and 2,279.80 is: 3,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.94 : 4,978.35 = 2,279.80 : x
  2. Step 2: Convert to fraction form
    3,606.94/4,978.35 = 2,279.80/x
  3. Step 3: Cross multiply
    3,606.94x = 4,978.35 × 2,279.80
  4. Step 4: Simplify right side
    3,606.94x = 11,349,642.33
  5. Step 5: Solve for x
    x = 11,349,642.33/3,606.94
  6. Step 6: Final answer
    x = 3,146.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.