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Finding the Fourth Proportional to 21,713.81, 29,965.07 and 11,777.81

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Solution

The fourth proportional to 21,713.81, 29,965.07 and 11,777.81 is: 16,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,713.81 : 29,965.07 = 11,777.81 : x
  2. Step 2: Convert to fraction form
    21,713.81/29,965.07 = 11,777.81/x
  3. Step 3: Cross multiply
    21,713.81x = 29,965.07 × 11,777.81
  4. Step 4: Simplify right side
    21,713.81x = 352,922,917.12
  5. Step 5: Solve for x
    x = 352,922,917.12/21,713.81
  6. Step 6: Final answer
    x = 16,253.38

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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.