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Finding the Fourth Proportional to 12,270.74, 16,938.81 and 8,297.24

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Solution

The fourth proportional to 12,270.74, 16,938.81 and 8,297.24 is: 11,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.74 : 16,938.81 = 8,297.24 : x
  2. Step 2: Convert to fraction form
    12,270.74/16,938.81 = 8,297.24/x
  3. Step 3: Cross multiply
    12,270.74x = 16,938.81 × 8,297.24
  4. Step 4: Simplify right side
    12,270.74x = 140,545,287.19
  5. Step 5: Solve for x
    x = 140,545,287.19/12,270.74
  6. Step 6: Final answer
    x = 11,453.70

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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.