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Finding the Fourth Proportional to 21,233.64, 29,303.46 and 11,802

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Solution

The fourth proportional to 21,233.64, 29,303.46 and 11,802 is: 16,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,233.64 : 29,303.46 = 11,802 : x
  2. Step 2: Convert to fraction form
    21,233.64/29,303.46 = 11,802/x
  3. Step 3: Cross multiply
    21,233.64x = 29,303.46 × 11,802
  4. Step 4: Simplify right side
    21,233.64x = 345,839,434.92
  5. Step 5: Solve for x
    x = 345,839,434.92/21,233.64
  6. Step 6: Final answer
    x = 16,287.34

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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.