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Finding the Fourth Proportional to 11,821, 16,314.60 and 7,628.44

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Solution

The fourth proportional to 11,821, 16,314.60 and 7,628.44 is: 10,528.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821 : 16,314.60 = 7,628.44 : x
  2. Step 2: Convert to fraction form
    11,821/16,314.60 = 7,628.44/x
  3. Step 3: Cross multiply
    11,821x = 16,314.60 × 7,628.44
  4. Step 4: Simplify right side
    11,821x = 124,454,947.22
  5. Step 5: Solve for x
    x = 124,454,947.22/11,821
  6. Step 6: Final answer
    x = 10,528.29

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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.