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Finding the Fourth Proportional to 2,776.74, 3,832.44 and 1,783.28

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Solution

The fourth proportional to 2,776.74, 3,832.44 and 1,783.28 is: 2,461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.74 : 3,832.44 = 1,783.28 : x
  2. Step 2: Convert to fraction form
    2,776.74/3,832.44 = 1,783.28/x
  3. Step 3: Cross multiply
    2,776.74x = 3,832.44 × 1,783.28
  4. Step 4: Simplify right side
    2,776.74x = 6,834,294.44
  5. Step 5: Solve for x
    x = 6,834,294.44/2,776.74
  6. Step 6: Final answer
    x = 2,461.27

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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.