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Finding the Fourth Proportional to 2,776.88, 3,830.29 and 1,832.22

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Solution

The fourth proportional to 2,776.88, 3,830.29 and 1,832.22 is: 2,527.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.88 : 3,830.29 = 1,832.22 : x
  2. Step 2: Convert to fraction form
    2,776.88/3,830.29 = 1,832.22/x
  3. Step 3: Cross multiply
    2,776.88x = 3,830.29 × 1,832.22
  4. Step 4: Simplify right side
    2,776.88x = 7,017,929.36
  5. Step 5: Solve for x
    x = 7,017,929.36/2,776.88
  6. Step 6: Final answer
    x = 2,527.27

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1.5x scale

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.