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Finding the Fourth Proportional to 7,819.53, 11,715.46 and 6,495.54

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Solution

The fourth proportional to 7,819.53, 11,715.46 and 6,495.54 is: 9,731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.53 : 11,715.46 = 6,495.54 : x
  2. Step 2: Convert to fraction form
    7,819.53/11,715.46 = 6,495.54/x
  3. Step 3: Cross multiply
    7,819.53x = 11,715.46 × 6,495.54
  4. Step 4: Simplify right side
    7,819.53x = 76,098,278.92
  5. Step 5: Solve for x
    x = 76,098,278.92/7,819.53
  6. Step 6: Final answer
    x = 9,731.82

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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.