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Finding the Fourth Proportional to 36,031.70, 49,727.97 and 20,925

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Solution

The fourth proportional to 36,031.70, 49,727.97 and 20,925 is: 28,878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,031.70 : 49,727.97 = 20,925 : x
  2. Step 2: Convert to fraction form
    36,031.70/49,727.97 = 20,925/x
  3. Step 3: Cross multiply
    36,031.70x = 49,727.97 × 20,925
  4. Step 4: Simplify right side
    36,031.70x = 1,040,557,772.25
  5. Step 5: Solve for x
    x = 1,040,557,772.25/36,031.70
  6. Step 6: Final answer
    x = 28,878.95

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1.5x scale

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.