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Finding the Fourth Proportional to 30,493.84, 45,716.52 and 20,029

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Solution

The fourth proportional to 30,493.84, 45,716.52 and 20,029 is: 30,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.84 : 45,716.52 = 20,029 : x
  2. Step 2: Convert to fraction form
    30,493.84/45,716.52 = 20,029/x
  3. Step 3: Cross multiply
    30,493.84x = 45,716.52 × 20,029
  4. Step 4: Simplify right side
    30,493.84x = 915,656,179.08
  5. Step 5: Solve for x
    x = 915,656,179.08/30,493.84
  6. Step 6: Final answer
    x = 30,027.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.