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Finding the Fourth Proportional to 35,489.84, 48,974.32 and 20,372

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Solution

The fourth proportional to 35,489.84, 48,974.32 and 20,372 is: 28,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,489.84 : 48,974.32 = 20,372 : x
  2. Step 2: Convert to fraction form
    35,489.84/48,974.32 = 20,372/x
  3. Step 3: Cross multiply
    35,489.84x = 48,974.32 × 20,372
  4. Step 4: Simplify right side
    35,489.84x = 997,704,847.04
  5. Step 5: Solve for x
    x = 997,704,847.04/35,489.84
  6. Step 6: Final answer
    x = 28,112.41

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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.