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Finding the Fourth Proportional to 12,817.14, 17,687.62 and 7,228.10

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Solution

The fourth proportional to 12,817.14, 17,687.62 and 7,228.10 is: 9,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.14 : 17,687.62 = 7,228.10 : x
  2. Step 2: Convert to fraction form
    12,817.14/17,687.62 = 7,228.10/x
  3. Step 3: Cross multiply
    12,817.14x = 17,687.62 × 7,228.10
  4. Step 4: Simplify right side
    12,817.14x = 127,847,886.12
  5. Step 5: Solve for x
    x = 127,847,886.12/12,817.14
  6. Step 6: Final answer
    x = 9,974.76

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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.