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Finding the Fourth Proportional to 20,882.61, 31,315.51 and 7,736.01

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Solution

The fourth proportional to 20,882.61, 31,315.51 and 7,736.01 is: 11,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882.61 : 31,315.51 = 7,736.01 : x
  2. Step 2: Convert to fraction form
    20,882.61/31,315.51 = 7,736.01/x
  3. Step 3: Cross multiply
    20,882.61x = 31,315.51 × 7,736.01
  4. Step 4: Simplify right side
    20,882.61x = 242,256,990.75
  5. Step 5: Solve for x
    x = 242,256,990.75/20,882.61
  6. Step 6: Final answer
    x = 11,600.90

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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.