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Finding the Fourth Proportional to 38,634.88, 57,961 and 20,865.16

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Solution

The fourth proportional to 38,634.88, 57,961 and 20,865.16 is: 31,302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,634.88 : 57,961 = 20,865.16 : x
  2. Step 2: Convert to fraction form
    38,634.88/57,961 = 20,865.16/x
  3. Step 3: Cross multiply
    38,634.88x = 57,961 × 20,865.16
  4. Step 4: Simplify right side
    38,634.88x = 1,209,365,538.76
  5. Step 5: Solve for x
    x = 1,209,365,538.76/38,634.88
  6. Step 6: Final answer
    x = 31,302.43

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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.