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Finding the Fourth Proportional to 12,713.75, 17,539.06 and 8,238.94

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Solution

The fourth proportional to 12,713.75, 17,539.06 and 8,238.94 is: 11,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.75 : 17,539.06 = 8,238.94 : x
  2. Step 2: Convert to fraction form
    12,713.75/17,539.06 = 8,238.94/x
  3. Step 3: Cross multiply
    12,713.75x = 17,539.06 × 8,238.94
  4. Step 4: Simplify right side
    12,713.75x = 144,503,263.00
  5. Step 5: Solve for x
    x = 144,503,263.00/12,713.75
  6. Step 6: Final answer
    x = 11,365.90

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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.