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Finding the Fourth Proportional to 36,503, 50,381.49 and 20,587.76

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Solution

The fourth proportional to 36,503, 50,381.49 and 20,587.76 is: 28,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,503 : 50,381.49 = 20,587.76 : x
  2. Step 2: Convert to fraction form
    36,503/50,381.49 = 20,587.76/x
  3. Step 3: Cross multiply
    36,503x = 50,381.49 × 20,587.76
  4. Step 4: Simplify right side
    36,503x = 1,037,242,024.56
  5. Step 5: Solve for x
    x = 1,037,242,024.56/36,503
  6. Step 6: Final answer
    x = 28,415.25

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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.