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Finding the Fourth Proportional to 4,250, 5,863.56 and 2,678.48

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Solution

The fourth proportional to 4,250, 5,863.56 and 2,678.48 is: 3,695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,250 : 5,863.56 = 2,678.48 : x
  2. Step 2: Convert to fraction form
    4,250/5,863.56 = 2,678.48/x
  3. Step 3: Cross multiply
    4,250x = 5,863.56 × 2,678.48
  4. Step 4: Simplify right side
    4,250x = 15,705,428.19
  5. Step 5: Solve for x
    x = 15,705,428.19/4,250
  6. Step 6: Final answer
    x = 3,695.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.