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Finding the Fourth Proportional to 11,947.60, 16,468.50 and 9,425.44

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Solution

The fourth proportional to 11,947.60, 16,468.50 and 9,425.44 is: 12,991.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.60 : 16,468.50 = 9,425.44 : x
  2. Step 2: Convert to fraction form
    11,947.60/16,468.50 = 9,425.44/x
  3. Step 3: Cross multiply
    11,947.60x = 16,468.50 × 9,425.44
  4. Step 4: Simplify right side
    11,947.60x = 155,222,858.64
  5. Step 5: Solve for x
    x = 155,222,858.64/11,947.60
  6. Step 6: Final answer
    x = 12,991.97

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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.