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Finding the Fourth Proportional to 2,763.83, 3,814.89 and 2,208.17

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Solution

The fourth proportional to 2,763.83, 3,814.89 and 2,208.17 is: 3,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.83 : 3,814.89 = 2,208.17 : x
  2. Step 2: Convert to fraction form
    2,763.83/3,814.89 = 2,208.17/x
  3. Step 3: Cross multiply
    2,763.83x = 3,814.89 × 2,208.17
  4. Step 4: Simplify right side
    2,763.83x = 8,423,925.65
  5. Step 5: Solve for x
    x = 8,423,925.65/2,763.83
  6. Step 6: Final answer
    x = 3,047.92

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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.