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Finding the Fourth Proportional to 35,860, 49,486.80 and 20,956

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Solution

The fourth proportional to 35,860, 49,486.80 and 20,956 is: 28,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,860 : 49,486.80 = 20,956 : x
  2. Step 2: Convert to fraction form
    35,860/49,486.80 = 20,956/x
  3. Step 3: Cross multiply
    35,860x = 49,486.80 × 20,956
  4. Step 4: Simplify right side
    35,860x = 1,037,045,380.80
  5. Step 5: Solve for x
    x = 1,037,045,380.80/35,860
  6. Step 6: Final answer
    x = 28,919.28

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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.