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Finding the Fourth Proportional to 11,829, 16,325.64 and 7,636.44

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Solution

The fourth proportional to 11,829, 16,325.64 and 7,636.44 is: 10,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829 : 16,325.64 = 7,636.44 : x
  2. Step 2: Convert to fraction form
    11,829/16,325.64 = 7,636.44/x
  3. Step 3: Cross multiply
    11,829x = 16,325.64 × 7,636.44
  4. Step 4: Simplify right side
    11,829x = 124,669,770.32
  5. Step 5: Solve for x
    x = 124,669,770.32/11,829
  6. Step 6: Final answer
    x = 10,539.33

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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.