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Finding the Fourth Proportional to 21,103.93, 31,663.12 and 7,960.06

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Solution

The fourth proportional to 21,103.93, 31,663.12 and 7,960.06 is: 11,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,103.93 : 31,663.12 = 7,960.06 : x
  2. Step 2: Convert to fraction form
    21,103.93/31,663.12 = 7,960.06/x
  3. Step 3: Cross multiply
    21,103.93x = 31,663.12 × 7,960.06
  4. Step 4: Simplify right side
    21,103.93x = 252,040,334.99
  5. Step 5: Solve for x
    x = 252,040,334.99/21,103.93
  6. Step 6: Final answer
    x = 11,942.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.