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Finding the Fourth Proportional to 6,478.70, 9,715.65 and 2,096.30

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Solution

The fourth proportional to 6,478.70, 9,715.65 and 2,096.30 is: 3,143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.70 : 9,715.65 = 2,096.30 : x
  2. Step 2: Convert to fraction form
    6,478.70/9,715.65 = 2,096.30/x
  3. Step 3: Cross multiply
    6,478.70x = 9,715.65 × 2,096.30
  4. Step 4: Simplify right side
    6,478.70x = 20,366,917.10
  5. Step 5: Solve for x
    x = 20,366,917.10/6,478.70
  6. Step 6: Final answer
    x = 3,143.67

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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.