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Finding the Fourth Proportional to 2,021.34, 2,785.34 and 1,549.25

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Solution

The fourth proportional to 2,021.34, 2,785.34 and 1,549.25 is: 2,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.34 : 2,785.34 = 1,549.25 : x
  2. Step 2: Convert to fraction form
    2,021.34/2,785.34 = 1,549.25/x
  3. Step 3: Cross multiply
    2,021.34x = 2,785.34 × 1,549.25
  4. Step 4: Simplify right side
    2,021.34x = 4,315,177.94
  5. Step 5: Solve for x
    x = 4,315,177.94/2,021.34
  6. Step 6: Final answer
    x = 2,134.81

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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.