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Finding the Fourth Proportional to 35,105.92, 48,441.84 and 20,956

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Solution

The fourth proportional to 35,105.92, 48,441.84 and 20,956 is: 28,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,105.92 : 48,441.84 = 20,956 : x
  2. Step 2: Convert to fraction form
    35,105.92/48,441.84 = 20,956/x
  3. Step 3: Cross multiply
    35,105.92x = 48,441.84 × 20,956
  4. Step 4: Simplify right side
    35,105.92x = 1,015,147,199.04
  5. Step 5: Solve for x
    x = 1,015,147,199.04/35,105.92
  6. Step 6: Final answer
    x = 28,916.70

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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.