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Finding the Fourth Proportional to 3,448.58, 5,172.91 and 983.29

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Solution

The fourth proportional to 3,448.58, 5,172.91 and 983.29 is: 1,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.58 : 5,172.91 = 983.29 : x
  2. Step 2: Convert to fraction form
    3,448.58/5,172.91 = 983.29/x
  3. Step 3: Cross multiply
    3,448.58x = 5,172.91 × 983.29
  4. Step 4: Simplify right side
    3,448.58x = 5,086,470.51
  5. Step 5: Solve for x
    x = 5,086,470.51/3,448.58
  6. Step 6: Final answer
    x = 1,474.95

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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.