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Finding the Fourth Proportional to 11,964, 17,948.90 and 3,756

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Solution

The fourth proportional to 11,964, 17,948.90 and 3,756 is: 5,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964 : 17,948.90 = 3,756 : x
  2. Step 2: Convert to fraction form
    11,964/17,948.90 = 3,756/x
  3. Step 3: Cross multiply
    11,964x = 17,948.90 × 3,756
  4. Step 4: Simplify right side
    11,964x = 67,416,068.40
  5. Step 5: Solve for x
    x = 67,416,068.40/11,964
  6. Step 6: Final answer
    x = 5,634.91

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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.