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Finding the Fourth Proportional to 12,857.66, 17,742.40 and 8,141.84

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Solution

The fourth proportional to 12,857.66, 17,742.40 and 8,141.84 is: 11,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.66 : 17,742.40 = 8,141.84 : x
  2. Step 2: Convert to fraction form
    12,857.66/17,742.40 = 8,141.84/x
  3. Step 3: Cross multiply
    12,857.66x = 17,742.40 × 8,141.84
  4. Step 4: Simplify right side
    12,857.66x = 144,455,672.95
  5. Step 5: Solve for x
    x = 144,455,672.95/12,857.66
  6. Step 6: Final answer
    x = 11,234.99

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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.