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Finding the Fourth Proportional to 12,226.52, 16,881 and 8,253.20

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Solution

The fourth proportional to 12,226.52, 16,881 and 8,253.20 is: 11,395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.52 : 16,881 = 8,253.20 : x
  2. Step 2: Convert to fraction form
    12,226.52/16,881 = 8,253.20/x
  3. Step 3: Cross multiply
    12,226.52x = 16,881 × 8,253.20
  4. Step 4: Simplify right side
    12,226.52x = 139,322,269.20
  5. Step 5: Solve for x
    x = 139,322,269.20/12,226.52
  6. Step 6: Final answer
    x = 11,395.09

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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.