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Finding the Fourth Proportional to 21,653.64, 29,882 and 11,717.64

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Solution

The fourth proportional to 21,653.64, 29,882 and 11,717.64 is: 16,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,653.64 : 29,882 = 11,717.64 : x
  2. Step 2: Convert to fraction form
    21,653.64/29,882 = 11,717.64/x
  3. Step 3: Cross multiply
    21,653.64x = 29,882 × 11,717.64
  4. Step 4: Simplify right side
    21,653.64x = 350,146,518.48
  5. Step 5: Solve for x
    x = 350,146,518.48/21,653.64
  6. Step 6: Final answer
    x = 16,170.33

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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.