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Finding the Fourth Proportional to 12,201, 16,831.16 and 7,717.20

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Solution

The fourth proportional to 12,201, 16,831.16 and 7,717.20 is: 10,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201 : 16,831.16 = 7,717.20 : x
  2. Step 2: Convert to fraction form
    12,201/16,831.16 = 7,717.20/x
  3. Step 3: Cross multiply
    12,201x = 16,831.16 × 7,717.20
  4. Step 4: Simplify right side
    12,201x = 129,889,427.95
  5. Step 5: Solve for x
    x = 129,889,427.95/12,201
  6. Step 6: Final answer
    x = 10,645.80

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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.