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Finding the Fourth Proportional to 4,299, 6,448.62 and 1,377.56

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Solution

The fourth proportional to 4,299, 6,448.62 and 1,377.56 is: 2,066.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299 : 6,448.62 = 1,377.56 : x
  2. Step 2: Convert to fraction form
    4,299/6,448.62 = 1,377.56/x
  3. Step 3: Cross multiply
    4,299x = 6,448.62 × 1,377.56
  4. Step 4: Simplify right side
    4,299x = 8,883,360.97
  5. Step 5: Solve for x
    x = 8,883,360.97/4,299
  6. Step 6: Final answer
    x = 2,066.38

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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.