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Finding the Fourth Proportional to 1,938.08, 2,905.60 and 1,208

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Solution

The fourth proportional to 1,938.08, 2,905.60 and 1,208 is: 1,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.08 : 2,905.60 = 1,208 : x
  2. Step 2: Convert to fraction form
    1,938.08/2,905.60 = 1,208/x
  3. Step 3: Cross multiply
    1,938.08x = 2,905.60 × 1,208
  4. Step 4: Simplify right side
    1,938.08x = 3,509,964.80
  5. Step 5: Solve for x
    x = 3,509,964.80/1,938.08
  6. Step 6: Final answer
    x = 1,811.05

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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.