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Finding the Fourth Proportional to 2,186.38, 3,279.30 and 954.64

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Solution

The fourth proportional to 2,186.38, 3,279.30 and 954.64 is: 1,431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.38 : 3,279.30 = 954.64 : x
  2. Step 2: Convert to fraction form
    2,186.38/3,279.30 = 954.64/x
  3. Step 3: Cross multiply
    2,186.38x = 3,279.30 × 954.64
  4. Step 4: Simplify right side
    2,186.38x = 3,130,550.95
  5. Step 5: Solve for x
    x = 3,130,550.95/2,186.38
  6. Step 6: Final answer
    x = 1,431.84

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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.