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Finding the Fourth Proportional to 4,159.95, 6,242.49 and 1,938.39

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Solution

The fourth proportional to 4,159.95, 6,242.49 and 1,938.39 is: 2,908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.95 : 6,242.49 = 1,938.39 : x
  2. Step 2: Convert to fraction form
    4,159.95/6,242.49 = 1,938.39/x
  3. Step 3: Cross multiply
    4,159.95x = 6,242.49 × 1,938.39
  4. Step 4: Simplify right side
    4,159.95x = 12,100,380.19
  5. Step 5: Solve for x
    x = 12,100,380.19/4,159.95
  6. Step 6: Final answer
    x = 2,908.78

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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.