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Finding the Fourth Proportional to 4,199.97, 6,300.89 and 1,278.50

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Solution

The fourth proportional to 4,199.97, 6,300.89 and 1,278.50 is: 1,918.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.97 : 6,300.89 = 1,278.50 : x
  2. Step 2: Convert to fraction form
    4,199.97/6,300.89 = 1,278.50/x
  3. Step 3: Cross multiply
    4,199.97x = 6,300.89 × 1,278.50
  4. Step 4: Simplify right side
    4,199.97x = 8,055,709.21
  5. Step 5: Solve for x
    x = 8,055,709.21/4,199.97
  6. Step 6: Final answer
    x = 1,918.04

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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.