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Finding the Fourth Proportional to 11,744.64, 16,209.68 and 7,028.91

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Solution

The fourth proportional to 11,744.64, 16,209.68 and 7,028.91 is: 9,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.64 : 16,209.68 = 7,028.91 : x
  2. Step 2: Convert to fraction form
    11,744.64/16,209.68 = 7,028.91/x
  3. Step 3: Cross multiply
    11,744.64x = 16,209.68 × 7,028.91
  4. Step 4: Simplify right side
    11,744.64x = 113,936,346.70
  5. Step 5: Solve for x
    x = 113,936,346.70/11,744.64
  6. Step 6: Final answer
    x = 9,701.14

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