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Finding the Fourth Proportional to 2,524.95, 3,782.29 and 1,868.78

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Solution

The fourth proportional to 2,524.95, 3,782.29 and 1,868.78 is: 2,799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.95 : 3,782.29 = 1,868.78 : x
  2. Step 2: Convert to fraction form
    2,524.95/3,782.29 = 1,868.78/x
  3. Step 3: Cross multiply
    2,524.95x = 3,782.29 × 1,868.78
  4. Step 4: Simplify right side
    2,524.95x = 7,068,267.91
  5. Step 5: Solve for x
    x = 7,068,267.91/2,524.95
  6. Step 6: Final answer
    x = 2,799.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.