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Finding the Fourth Proportional to 30,772.88, 46,163.78 and 9,705.80

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Solution

The fourth proportional to 30,772.88, 46,163.78 and 9,705.80 is: 14,560.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.88 : 46,163.78 = 9,705.80 : x
  2. Step 2: Convert to fraction form
    30,772.88/46,163.78 = 9,705.80/x
  3. Step 3: Cross multiply
    30,772.88x = 46,163.78 × 9,705.80
  4. Step 4: Simplify right side
    30,772.88x = 448,056,136.58
  5. Step 5: Solve for x
    x = 448,056,136.58/30,772.88
  6. Step 6: Final answer
    x = 14,560.10

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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.