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Finding the Fourth Proportional to 30,991.04, 46,472 and 11,255.68

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Solution

The fourth proportional to 30,991.04, 46,472 and 11,255.68 is: 16,878.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.04 : 46,472 = 11,255.68 : x
  2. Step 2: Convert to fraction form
    30,991.04/46,472 = 11,255.68/x
  3. Step 3: Cross multiply
    30,991.04x = 46,472 × 11,255.68
  4. Step 4: Simplify right side
    30,991.04x = 523,073,960.96
  5. Step 5: Solve for x
    x = 523,073,960.96/30,991.04
  6. Step 6: Final answer
    x = 16,878.23

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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.