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Finding the Fourth Proportional to 1,930.36, 2,664.88 and 1,339.88

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Solution

The fourth proportional to 1,930.36, 2,664.88 and 1,339.88 is: 1,849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.36 : 2,664.88 = 1,339.88 : x
  2. Step 2: Convert to fraction form
    1,930.36/2,664.88 = 1,339.88/x
  3. Step 3: Cross multiply
    1,930.36x = 2,664.88 × 1,339.88
  4. Step 4: Simplify right side
    1,930.36x = 3,570,619.41
  5. Step 5: Solve for x
    x = 3,570,619.41/1,930.36
  6. Step 6: Final answer
    x = 1,849.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.