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Finding the Fourth Proportional to 12,446.84, 17,177.28 and 6,857.84

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Solution

The fourth proportional to 12,446.84, 17,177.28 and 6,857.84 is: 9,464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.84 : 17,177.28 = 6,857.84 : x
  2. Step 2: Convert to fraction form
    12,446.84/17,177.28 = 6,857.84/x
  3. Step 3: Cross multiply
    12,446.84x = 17,177.28 × 6,857.84
  4. Step 4: Simplify right side
    12,446.84x = 117,799,037.88
  5. Step 5: Solve for x
    x = 117,799,037.88/12,446.84
  6. Step 6: Final answer
    x = 9,464.17

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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.