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Finding the Fourth Proportional to 3,899.93, 5,850.57 and 1,708.61

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Solution

The fourth proportional to 3,899.93, 5,850.57 and 1,708.61 is: 2,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.93 : 5,850.57 = 1,708.61 : x
  2. Step 2: Convert to fraction form
    3,899.93/5,850.57 = 1,708.61/x
  3. Step 3: Cross multiply
    3,899.93x = 5,850.57 × 1,708.61
  4. Step 4: Simplify right side
    3,899.93x = 9,996,342.41
  5. Step 5: Solve for x
    x = 9,996,342.41/3,899.93
  6. Step 6: Final answer
    x = 2,563.21

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Why These Related Problems?

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