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Finding the Fourth Proportional to 21,796, 30,079.12 and 11,860.64

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Solution

The fourth proportional to 21,796, 30,079.12 and 11,860.64 is: 16,368.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,796 : 30,079.12 = 11,860.64 : x
  2. Step 2: Convert to fraction form
    21,796/30,079.12 = 11,860.64/x
  3. Step 3: Cross multiply
    21,796x = 30,079.12 × 11,860.64
  4. Step 4: Simplify right side
    21,796x = 356,757,613.84
  5. Step 5: Solve for x
    x = 356,757,613.84/21,796
  6. Step 6: Final answer
    x = 16,368.03

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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.