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Finding the Fourth Proportional to 1,570.96, 2,167.74 and 941.41

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Solution

The fourth proportional to 1,570.96, 2,167.74 and 941.41 is: 1,299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.96 : 2,167.74 = 941.41 : x
  2. Step 2: Convert to fraction form
    1,570.96/2,167.74 = 941.41/x
  3. Step 3: Cross multiply
    1,570.96x = 2,167.74 × 941.41
  4. Step 4: Simplify right side
    1,570.96x = 2,040,732.11
  5. Step 5: Solve for x
    x = 2,040,732.11/1,570.96
  6. Step 6: Final answer
    x = 1,299.04

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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.