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Finding the Fourth Proportional to 6,311, 8,709.24 and 3,516.56

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Solution

The fourth proportional to 6,311, 8,709.24 and 3,516.56 is: 4,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311 : 8,709.24 = 3,516.56 : x
  2. Step 2: Convert to fraction form
    6,311/8,709.24 = 3,516.56/x
  3. Step 3: Cross multiply
    6,311x = 8,709.24 × 3,516.56
  4. Step 4: Simplify right side
    6,311x = 30,626,565.01
  5. Step 5: Solve for x
    x = 30,626,565.01/6,311
  6. Step 6: Final answer
    x = 4,852.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.