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Finding the Fourth Proportional to 3,005.46, 4,147.12 and 1,679

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Solution

The fourth proportional to 3,005.46, 4,147.12 and 1,679 is: 2,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.46 : 4,147.12 = 1,679 : x
  2. Step 2: Convert to fraction form
    3,005.46/4,147.12 = 1,679/x
  3. Step 3: Cross multiply
    3,005.46x = 4,147.12 × 1,679
  4. Step 4: Simplify right side
    3,005.46x = 6,963,014.48
  5. Step 5: Solve for x
    x = 6,963,014.48/3,005.46
  6. Step 6: Final answer
    x = 2,316.79

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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.