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Finding the Fourth Proportional to 2,686.14, 4,027.71 and 930.33

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Solution

The fourth proportional to 2,686.14, 4,027.71 and 930.33 is: 1,394.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.14 : 4,027.71 = 930.33 : x
  2. Step 2: Convert to fraction form
    2,686.14/4,027.71 = 930.33/x
  3. Step 3: Cross multiply
    2,686.14x = 4,027.71 × 930.33
  4. Step 4: Simplify right side
    2,686.14x = 3,747,099.44
  5. Step 5: Solve for x
    x = 3,747,099.44/2,686.14
  6. Step 6: Final answer
    x = 1,394.98

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1.5x scale

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.