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Finding the Fourth Proportional to 20,460.92, 30,697.86 and 7,313

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Solution

The fourth proportional to 20,460.92, 30,697.86 and 7,313 is: 10,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,460.92 : 30,697.86 = 7,313 : x
  2. Step 2: Convert to fraction form
    20,460.92/30,697.86 = 7,313/x
  3. Step 3: Cross multiply
    20,460.92x = 30,697.86 × 7,313
  4. Step 4: Simplify right side
    20,460.92x = 224,493,450.18
  5. Step 5: Solve for x
    x = 224,493,450.18/20,460.92
  6. Step 6: Final answer
    x = 10,971.82

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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.