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Finding the Fourth Proportional to 12,242.20, 16,884.84 and 8,257

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Solution

The fourth proportional to 12,242.20, 16,884.84 and 8,257 is: 11,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.20 : 16,884.84 = 8,257 : x
  2. Step 2: Convert to fraction form
    12,242.20/16,884.84 = 8,257/x
  3. Step 3: Cross multiply
    12,242.20x = 16,884.84 × 8,257
  4. Step 4: Simplify right side
    12,242.20x = 139,418,123.88
  5. Step 5: Solve for x
    x = 139,418,123.88/12,242.20
  6. Step 6: Final answer
    x = 11,388.32

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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.