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Finding the Fourth Proportional to 12,835.91, 17,713.62 and 7,170.90

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Solution

The fourth proportional to 12,835.91, 17,713.62 and 7,170.90 is: 9,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.91 : 17,713.62 = 7,170.90 : x
  2. Step 2: Convert to fraction form
    12,835.91/17,713.62 = 7,170.90/x
  3. Step 3: Cross multiply
    12,835.91x = 17,713.62 × 7,170.90
  4. Step 4: Simplify right side
    12,835.91x = 127,022,597.66
  5. Step 5: Solve for x
    x = 127,022,597.66/12,835.91
  6. Step 6: Final answer
    x = 9,895.88

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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.