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Finding the Fourth Proportional to 4,201.84, 6,300.36 and 1,279.28

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Solution

The fourth proportional to 4,201.84, 6,300.36 and 1,279.28 is: 1,918.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.84 : 6,300.36 = 1,279.28 : x
  2. Step 2: Convert to fraction form
    4,201.84/6,300.36 = 1,279.28/x
  3. Step 3: Cross multiply
    4,201.84x = 6,300.36 × 1,279.28
  4. Step 4: Simplify right side
    4,201.84x = 8,059,924.54
  5. Step 5: Solve for x
    x = 8,059,924.54/4,201.84
  6. Step 6: Final answer
    x = 1,918.19

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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.