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Finding the Fourth Proportional to 2,763.88, 3,814.16 and 1,521.88

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Solution

The fourth proportional to 2,763.88, 3,814.16 and 1,521.88 is: 2,100.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.88 : 3,814.16 = 1,521.88 : x
  2. Step 2: Convert to fraction form
    2,763.88/3,814.16 = 1,521.88/x
  3. Step 3: Cross multiply
    2,763.88x = 3,814.16 × 1,521.88
  4. Step 4: Simplify right side
    2,763.88x = 5,804,693.82
  5. Step 5: Solve for x
    x = 5,804,693.82/2,763.88
  6. Step 6: Final answer
    x = 2,100.20

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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.