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Finding the Fourth Proportional to 3,757, 5,635.74 and 1,021

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Solution

The fourth proportional to 3,757, 5,635.74 and 1,021 is: 1,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757 : 5,635.74 = 1,021 : x
  2. Step 2: Convert to fraction form
    3,757/5,635.74 = 1,021/x
  3. Step 3: Cross multiply
    3,757x = 5,635.74 × 1,021
  4. Step 4: Simplify right side
    3,757x = 5,754,090.54
  5. Step 5: Solve for x
    x = 5,754,090.54/3,757
  6. Step 6: Final answer
    x = 1,531.57

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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.