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Finding the Fourth Proportional to 3,843.68, 5,761.08 and 1,870.29

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Solution

The fourth proportional to 3,843.68, 5,761.08 and 1,870.29 is: 2,803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.68 : 5,761.08 = 1,870.29 : x
  2. Step 2: Convert to fraction form
    3,843.68/5,761.08 = 1,870.29/x
  3. Step 3: Cross multiply
    3,843.68x = 5,761.08 × 1,870.29
  4. Step 4: Simplify right side
    3,843.68x = 10,774,890.31
  5. Step 5: Solve for x
    x = 10,774,890.31/3,843.68
  6. Step 6: Final answer
    x = 2,803.28

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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.