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Finding the Fourth Proportional to 4,199.84, 6,299.84 and 1,278

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Solution

The fourth proportional to 4,199.84, 6,299.84 and 1,278 is: 1,917.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.84 : 6,299.84 = 1,278 : x
  2. Step 2: Convert to fraction form
    4,199.84/6,299.84 = 1,278/x
  3. Step 3: Cross multiply
    4,199.84x = 6,299.84 × 1,278
  4. Step 4: Simplify right side
    4,199.84x = 8,051,195.52
  5. Step 5: Solve for x
    x = 8,051,195.52/4,199.84
  6. Step 6: Final answer
    x = 1,917.02

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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.