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Finding the Fourth Proportional to 2,798.73, 3,857.49 and 1,913.00

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Solution

The fourth proportional to 2,798.73, 3,857.49 and 1,913.00 is: 2,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.73 : 3,857.49 = 1,913.00 : x
  2. Step 2: Convert to fraction form
    2,798.73/3,857.49 = 1,913.00/x
  3. Step 3: Cross multiply
    2,798.73x = 3,857.49 × 1,913.00
  4. Step 4: Simplify right side
    2,798.73x = 7,379,359.08
  5. Step 5: Solve for x
    x = 7,379,359.08/2,798.73
  6. Step 6: Final answer
    x = 2,636.68

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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.