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Finding the Fourth Proportional to 2,882.99, 3,978.43 and 1,763.93

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Solution

The fourth proportional to 2,882.99, 3,978.43 and 1,763.93 is: 2,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.99 : 3,978.43 = 1,763.93 : x
  2. Step 2: Convert to fraction form
    2,882.99/3,978.43 = 1,763.93/x
  3. Step 3: Cross multiply
    2,882.99x = 3,978.43 × 1,763.93
  4. Step 4: Simplify right side
    2,882.99x = 7,017,647.73
  5. Step 5: Solve for x
    x = 7,017,647.73/2,882.99
  6. Step 6: Final answer
    x = 2,434.16

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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.