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Finding the Fourth Proportional to 12,817.13, 17,687.63 and 7,228.13

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Solution

The fourth proportional to 12,817.13, 17,687.63 and 7,228.13 is: 9,974.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.13 : 17,687.63 = 7,228.13 : x
  2. Step 2: Convert to fraction form
    12,817.13/17,687.63 = 7,228.13/x
  3. Step 3: Cross multiply
    12,817.13x = 17,687.63 × 7,228.13
  4. Step 4: Simplify right side
    12,817.13x = 127,848,418.66
  5. Step 5: Solve for x
    x = 127,848,418.66/12,817.13
  6. Step 6: Final answer
    x = 9,974.81

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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.