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Finding the Fourth Proportional to 11,928.39, 16,464.39 and 7,449.45

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Solution

The fourth proportional to 11,928.39, 16,464.39 and 7,449.45 is: 10,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928.39 : 16,464.39 = 7,449.45 : x
  2. Step 2: Convert to fraction form
    11,928.39/16,464.39 = 7,449.45/x
  3. Step 3: Cross multiply
    11,928.39x = 16,464.39 × 7,449.45
  4. Step 4: Simplify right side
    11,928.39x = 122,650,650.09
  5. Step 5: Solve for x
    x = 122,650,650.09/11,928.39
  6. Step 6: Final answer
    x = 10,282.25

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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.