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Finding the Fourth Proportional to 3,776.65, 5,212.43 and 2,205.52

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Solution

The fourth proportional to 3,776.65, 5,212.43 and 2,205.52 is: 3,044.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.65 : 5,212.43 = 2,205.52 : x
  2. Step 2: Convert to fraction form
    3,776.65/5,212.43 = 2,205.52/x
  3. Step 3: Cross multiply
    3,776.65x = 5,212.43 × 2,205.52
  4. Step 4: Simplify right side
    3,776.65x = 11,496,118.61
  5. Step 5: Solve for x
    x = 11,496,118.61/3,776.65
  6. Step 6: Final answer
    x = 3,044.00

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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.