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Finding the Fourth Proportional to 21,007.76, 31,512.24 and 7,857.62

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Solution

The fourth proportional to 21,007.76, 31,512.24 and 7,857.62 is: 11,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.76 : 31,512.24 = 7,857.62 : x
  2. Step 2: Convert to fraction form
    21,007.76/31,512.24 = 7,857.62/x
  3. Step 3: Cross multiply
    21,007.76x = 31,512.24 × 7,857.62
  4. Step 4: Simplify right side
    21,007.76x = 247,611,049.71
  5. Step 5: Solve for x
    x = 247,611,049.71/21,007.76
  6. Step 6: Final answer
    x = 11,786.65

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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.