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Finding the Fourth Proportional to 19,662, 27,127.80 and 11,700.24

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Solution

The fourth proportional to 19,662, 27,127.80 and 11,700.24 is: 16,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,662 : 27,127.80 = 11,700.24 : x
  2. Step 2: Convert to fraction form
    19,662/27,127.80 = 11,700.24/x
  3. Step 3: Cross multiply
    19,662x = 27,127.80 × 11,700.24
  4. Step 4: Simplify right side
    19,662x = 317,401,770.67
  5. Step 5: Solve for x
    x = 317,401,770.67/19,662
  6. Step 6: Final answer
    x = 16,142.90

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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.