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Finding the Fourth Proportional to 21,778, 30,053.64 and 11,842

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Solution

The fourth proportional to 21,778, 30,053.64 and 11,842 is: 16,341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,778 : 30,053.64 = 11,842 : x
  2. Step 2: Convert to fraction form
    21,778/30,053.64 = 11,842/x
  3. Step 3: Cross multiply
    21,778x = 30,053.64 × 11,842
  4. Step 4: Simplify right side
    21,778x = 355,895,204.88
  5. Step 5: Solve for x
    x = 355,895,204.88/21,778
  6. Step 6: Final answer
    x = 16,341.96

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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.