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Finding the Fourth Proportional to 2,732.67, 3,771 and 1,490.67

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Solution

The fourth proportional to 2,732.67, 3,771 and 1,490.67 is: 2,057.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.67 : 3,771 = 1,490.67 : x
  2. Step 2: Convert to fraction form
    2,732.67/3,771 = 1,490.67/x
  3. Step 3: Cross multiply
    2,732.67x = 3,771 × 1,490.67
  4. Step 4: Simplify right side
    2,732.67x = 5,621,316.57
  5. Step 5: Solve for x
    x = 5,621,316.57/2,732.67
  6. Step 6: Final answer
    x = 2,057.08

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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.