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Finding the Fourth Proportional to 2,776.72, 3,832.84 and 1,784.72

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Solution

The fourth proportional to 2,776.72, 3,832.84 and 1,784.72 is: 2,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.72 : 3,832.84 = 1,784.72 : x
  2. Step 2: Convert to fraction form
    2,776.72/3,832.84 = 1,784.72/x
  3. Step 3: Cross multiply
    2,776.72x = 3,832.84 × 1,784.72
  4. Step 4: Simplify right side
    2,776.72x = 6,840,546.20
  5. Step 5: Solve for x
    x = 6,840,546.20/2,776.72
  6. Step 6: Final answer
    x = 2,463.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.