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Finding the Fourth Proportional to 30,816, 46,231.68 and 8,928

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Solution

The fourth proportional to 30,816, 46,231.68 and 8,928 is: 13,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816 : 46,231.68 = 8,928 : x
  2. Step 2: Convert to fraction form
    30,816/46,231.68 = 8,928/x
  3. Step 3: Cross multiply
    30,816x = 46,231.68 × 8,928
  4. Step 4: Simplify right side
    30,816x = 412,756,439.04
  5. Step 5: Solve for x
    x = 412,756,439.04/30,816
  6. Step 6: Final answer
    x = 13,394.23

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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.