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Finding the Fourth Proportional to 2,784.74, 3,844.03 and 1,901.03

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Solution

The fourth proportional to 2,784.74, 3,844.03 and 1,901.03 is: 2,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.74 : 3,844.03 = 1,901.03 : x
  2. Step 2: Convert to fraction form
    2,784.74/3,844.03 = 1,901.03/x
  3. Step 3: Cross multiply
    2,784.74x = 3,844.03 × 1,901.03
  4. Step 4: Simplify right side
    2,784.74x = 7,307,616.35
  5. Step 5: Solve for x
    x = 7,307,616.35/2,784.74
  6. Step 6: Final answer
    x = 2,624.16

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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.