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Finding the Fourth Proportional to 12,297.60, 18,446.40 and 3,983.40

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Solution

The fourth proportional to 12,297.60, 18,446.40 and 3,983.40 is: 5,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.60 : 18,446.40 = 3,983.40 : x
  2. Step 2: Convert to fraction form
    12,297.60/18,446.40 = 3,983.40/x
  3. Step 3: Cross multiply
    12,297.60x = 18,446.40 × 3,983.40
  4. Step 4: Simplify right side
    12,297.60x = 73,479,389.76
  5. Step 5: Solve for x
    x = 73,479,389.76/12,297.60
  6. Step 6: Final answer
    x = 5,975.10

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Similar ratio
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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.