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Finding the Fourth Proportional to 1,938.08, 2,906.60 and 842.18

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Solution

The fourth proportional to 1,938.08, 2,906.60 and 842.18 is: 1,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.08 : 2,906.60 = 842.18 : x
  2. Step 2: Convert to fraction form
    1,938.08/2,906.60 = 842.18/x
  3. Step 3: Cross multiply
    1,938.08x = 2,906.60 × 842.18
  4. Step 4: Simplify right side
    1,938.08x = 2,447,883.44
  5. Step 5: Solve for x
    x = 2,447,883.44/1,938.08
  6. Step 6: Final answer
    x = 1,263.05

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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.