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Finding the Fourth Proportional to 3,001.56, 4,142.01 and 1,675

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Solution

The fourth proportional to 3,001.56, 4,142.01 and 1,675 is: 2,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.56 : 4,142.01 = 1,675 : x
  2. Step 2: Convert to fraction form
    3,001.56/4,142.01 = 1,675/x
  3. Step 3: Cross multiply
    3,001.56x = 4,142.01 × 1,675
  4. Step 4: Simplify right side
    3,001.56x = 6,937,866.75
  5. Step 5: Solve for x
    x = 6,937,866.75/3,001.56
  6. Step 6: Final answer
    x = 2,311.42

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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.