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Finding the Fourth Proportional to 3,000, 4,140.70 and 2,005.68

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Solution

The fourth proportional to 3,000, 4,140.70 and 2,005.68 is: 2,768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000 : 4,140.70 = 2,005.68 : x
  2. Step 2: Convert to fraction form
    3,000/4,140.70 = 2,005.68/x
  3. Step 3: Cross multiply
    3,000x = 4,140.70 × 2,005.68
  4. Step 4: Simplify right side
    3,000x = 8,304,919.18
  5. Step 5: Solve for x
    x = 8,304,919.18/3,000
  6. Step 6: Final answer
    x = 2,768.31

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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.