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Finding the Fourth Proportional to 12,840.44, 17,713.24 and 8,371.68

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Solution

The fourth proportional to 12,840.44, 17,713.24 and 8,371.68 is: 11,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.44 : 17,713.24 = 8,371.68 : x
  2. Step 2: Convert to fraction form
    12,840.44/17,713.24 = 8,371.68/x
  3. Step 3: Cross multiply
    12,840.44x = 17,713.24 × 8,371.68
  4. Step 4: Simplify right side
    12,840.44x = 148,289,577.04
  5. Step 5: Solve for x
    x = 148,289,577.04/12,840.44
  6. Step 6: Final answer
    x = 11,548.64

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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.