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Finding the Fourth Proportional to 12,446.64, 18,657.86 and 7,991.76

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Solution

The fourth proportional to 12,446.64, 18,657.86 and 7,991.76 is: 11,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.64 : 18,657.86 = 7,991.76 : x
  2. Step 2: Convert to fraction form
    12,446.64/18,657.86 = 7,991.76/x
  3. Step 3: Cross multiply
    12,446.64x = 18,657.86 × 7,991.76
  4. Step 4: Simplify right side
    12,446.64x = 149,109,139.23
  5. Step 5: Solve for x
    x = 149,109,139.23/12,446.64
  6. Step 6: Final answer
    x = 11,979.87

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1.5x scale

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.