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Finding the Fourth Proportional to 30,817, 46,233.18 and 8,929

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Solution

The fourth proportional to 30,817, 46,233.18 and 8,929 is: 13,395.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,817 : 46,233.18 = 8,929 : x
  2. Step 2: Convert to fraction form
    30,817/46,233.18 = 8,929/x
  3. Step 3: Cross multiply
    30,817x = 46,233.18 × 8,929
  4. Step 4: Simplify right side
    30,817x = 412,816,064.22
  5. Step 5: Solve for x
    x = 412,816,064.22/30,817
  6. Step 6: Final answer
    x = 13,395.73

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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.