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Finding the Fourth Proportional to 3,573, 5,356.22 and 2,111.80

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Solution

The fourth proportional to 3,573, 5,356.22 and 2,111.80 is: 3,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573 : 5,356.22 = 2,111.80 : x
  2. Step 2: Convert to fraction form
    3,573/5,356.22 = 2,111.80/x
  3. Step 3: Cross multiply
    3,573x = 5,356.22 × 2,111.80
  4. Step 4: Simplify right side
    3,573x = 11,311,265.40
  5. Step 5: Solve for x
    x = 11,311,265.40/3,573
  6. Step 6: Final answer
    x = 3,165.76

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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.