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Finding the Fourth Proportional to 4,119, 6,179.28 and 1,654.01

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Solution

The fourth proportional to 4,119, 6,179.28 and 1,654.01 is: 2,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119 : 6,179.28 = 1,654.01 : x
  2. Step 2: Convert to fraction form
    4,119/6,179.28 = 1,654.01/x
  3. Step 3: Cross multiply
    4,119x = 6,179.28 × 1,654.01
  4. Step 4: Simplify right side
    4,119x = 10,220,600.16
  5. Step 5: Solve for x
    x = 10,220,600.16/4,119
  6. Step 6: Final answer
    x = 2,481.33

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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.