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Finding the Fourth Proportional to 21,234.64, 29,304.84 and 11,803

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Solution

The fourth proportional to 21,234.64, 29,304.84 and 11,803 is: 16,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.64 : 29,304.84 = 11,803 : x
  2. Step 2: Convert to fraction form
    21,234.64/29,304.84 = 11,803/x
  3. Step 3: Cross multiply
    21,234.64x = 29,304.84 × 11,803
  4. Step 4: Simplify right side
    21,234.64x = 345,885,026.52
  5. Step 5: Solve for x
    x = 345,885,026.52/21,234.64
  6. Step 6: Final answer
    x = 16,288.72

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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.