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Finding the Fourth Proportional to 2,905.05, 4,010.81 and 1,911.99

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Solution

The fourth proportional to 2,905.05, 4,010.81 and 1,911.99 is: 2,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.05 : 4,010.81 = 1,911.99 : x
  2. Step 2: Convert to fraction form
    2,905.05/4,010.81 = 1,911.99/x
  3. Step 3: Cross multiply
    2,905.05x = 4,010.81 × 1,911.99
  4. Step 4: Simplify right side
    2,905.05x = 7,668,628.61
  5. Step 5: Solve for x
    x = 7,668,628.61/2,905.05
  6. Step 6: Final answer
    x = 2,639.76

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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.