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Finding the Fourth Proportional to 2,776.43, 3,832.17 and 1,782.02

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Solution

The fourth proportional to 2,776.43, 3,832.17 and 1,782.02 is: 2,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.43 : 3,832.17 = 1,782.02 : x
  2. Step 2: Convert to fraction form
    2,776.43/3,832.17 = 1,782.02/x
  3. Step 3: Cross multiply
    2,776.43x = 3,832.17 × 1,782.02
  4. Step 4: Simplify right side
    2,776.43x = 6,829,003.58
  5. Step 5: Solve for x
    x = 6,829,003.58/2,776.43
  6. Step 6: Final answer
    x = 2,459.63

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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.