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Finding the Fourth Proportional to 12,905.81, 17,809.94 and 7,163.21

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Solution

The fourth proportional to 12,905.81, 17,809.94 and 7,163.21 is: 9,885.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.81 : 17,809.94 = 7,163.21 : x
  2. Step 2: Convert to fraction form
    12,905.81/17,809.94 = 7,163.21/x
  3. Step 3: Cross multiply
    12,905.81x = 17,809.94 × 7,163.21
  4. Step 4: Simplify right side
    12,905.81x = 127,576,251.26
  5. Step 5: Solve for x
    x = 127,576,251.26/12,905.81
  6. Step 6: Final answer
    x = 9,885.18

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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.