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Finding the Fourth Proportional to 3,106, 4,289.84 and 2,109.61

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Solution

The fourth proportional to 3,106, 4,289.84 and 2,109.61 is: 2,913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106 : 4,289.84 = 2,109.61 : x
  2. Step 2: Convert to fraction form
    3,106/4,289.84 = 2,109.61/x
  3. Step 3: Cross multiply
    3,106x = 4,289.84 × 2,109.61
  4. Step 4: Simplify right side
    3,106x = 9,049,889.36
  5. Step 5: Solve for x
    x = 9,049,889.36/3,106
  6. Step 6: Final answer
    x = 2,913.68

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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.