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Finding the Fourth Proportional to 2,485.71, 3,727.47 and 841.83

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Solution

The fourth proportional to 2,485.71, 3,727.47 and 841.83 is: 1,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.71 : 3,727.47 = 841.83 : x
  2. Step 2: Convert to fraction form
    2,485.71/3,727.47 = 841.83/x
  3. Step 3: Cross multiply
    2,485.71x = 3,727.47 × 841.83
  4. Step 4: Simplify right side
    2,485.71x = 3,137,896.07
  5. Step 5: Solve for x
    x = 3,137,896.07/2,485.71
  6. Step 6: Final answer
    x = 1,262.37

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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.