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Finding the Fourth Proportional to 30,885, 46,299.78 and 11,158.94

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Solution

The fourth proportional to 30,885, 46,299.78 and 11,158.94 is: 16,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885 : 46,299.78 = 11,158.94 : x
  2. Step 2: Convert to fraction form
    30,885/46,299.78 = 11,158.94/x
  3. Step 3: Cross multiply
    30,885x = 46,299.78 × 11,158.94
  4. Step 4: Simplify right side
    30,885x = 516,656,467.03
  5. Step 5: Solve for x
    x = 516,656,467.03/30,885
  6. Step 6: Final answer
    x = 16,728.39

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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.