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Finding the Fourth Proportional to 12,286, 16,954.80 and 6,697.12

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Solution

The fourth proportional to 12,286, 16,954.80 and 6,697.12 is: 9,242.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286 : 16,954.80 = 6,697.12 : x
  2. Step 2: Convert to fraction form
    12,286/16,954.80 = 6,697.12/x
  3. Step 3: Cross multiply
    12,286x = 16,954.80 × 6,697.12
  4. Step 4: Simplify right side
    12,286x = 113,548,330.18
  5. Step 5: Solve for x
    x = 113,548,330.18/12,286
  6. Step 6: Final answer
    x = 9,242.09

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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.