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Finding the Fourth Proportional to 3,458.15, 5,186.81 and 959.51

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Solution

The fourth proportional to 3,458.15, 5,186.81 and 959.51 is: 1,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.15 : 5,186.81 = 959.51 : x
  2. Step 2: Convert to fraction form
    3,458.15/5,186.81 = 959.51/x
  3. Step 3: Cross multiply
    3,458.15x = 5,186.81 × 959.51
  4. Step 4: Simplify right side
    3,458.15x = 4,976,811.43
  5. Step 5: Solve for x
    x = 4,976,811.43/3,458.15
  6. Step 6: Final answer
    x = 1,439.15

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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.