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Finding the Fourth Proportional to 12,811, 17,679.78 and 7,222

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Solution

The fourth proportional to 12,811, 17,679.78 and 7,222 is: 9,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811 : 17,679.78 = 7,222 : x
  2. Step 2: Convert to fraction form
    12,811/17,679.78 = 7,222/x
  3. Step 3: Cross multiply
    12,811x = 17,679.78 × 7,222
  4. Step 4: Simplify right side
    12,811x = 127,683,371.16
  5. Step 5: Solve for x
    x = 127,683,371.16/12,811
  6. Step 6: Final answer
    x = 9,966.70

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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.