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Finding the Fourth Proportional to 3,119, 4,660.22 and 3,009.98

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Solution

The fourth proportional to 3,119, 4,660.22 and 3,009.98 is: 4,497.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119 : 4,660.22 = 3,009.98 : x
  2. Step 2: Convert to fraction form
    3,119/4,660.22 = 3,009.98/x
  3. Step 3: Cross multiply
    3,119x = 4,660.22 × 3,009.98
  4. Step 4: Simplify right side
    3,119x = 14,027,169.00
  5. Step 5: Solve for x
    x = 14,027,169.00/3,119
  6. Step 6: Final answer
    x = 4,497.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.