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Finding the Fourth Proportional to 38,542.56, 57,813.84 and 13,918.56

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Solution

The fourth proportional to 38,542.56, 57,813.84 and 13,918.56 is: 20,877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,542.56 : 57,813.84 = 13,918.56 : x
  2. Step 2: Convert to fraction form
    38,542.56/57,813.84 = 13,918.56/x
  3. Step 3: Cross multiply
    38,542.56x = 57,813.84 × 13,918.56
  4. Step 4: Simplify right side
    38,542.56x = 804,685,400.87
  5. Step 5: Solve for x
    x = 804,685,400.87/38,542.56
  6. Step 6: Final answer
    x = 20,877.84

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1.5x scale

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.