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Finding the Fourth Proportional to 11,756, 16,208.88 and 9,230.24

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Solution

The fourth proportional to 11,756, 16,208.88 and 9,230.24 is: 12,726.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756 : 16,208.88 = 9,230.24 : x
  2. Step 2: Convert to fraction form
    11,756/16,208.88 = 9,230.24/x
  3. Step 3: Cross multiply
    11,756x = 16,208.88 × 9,230.24
  4. Step 4: Simplify right side
    11,756x = 149,611,852.53
  5. Step 5: Solve for x
    x = 149,611,852.53/11,756
  6. Step 6: Final answer
    x = 12,726.43

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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.