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Finding the Fourth Proportional to 12,136.80, 16,735 and 9,891.71

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Solution

The fourth proportional to 12,136.80, 16,735 and 9,891.71 is: 13,639.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.80 : 16,735 = 9,891.71 : x
  2. Step 2: Convert to fraction form
    12,136.80/16,735 = 9,891.71/x
  3. Step 3: Cross multiply
    12,136.80x = 16,735 × 9,891.71
  4. Step 4: Simplify right side
    12,136.80x = 165,537,766.85
  5. Step 5: Solve for x
    x = 165,537,766.85/12,136.80
  6. Step 6: Final answer
    x = 13,639.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.