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Finding the Fourth Proportional to 6,472.80, 9,682.20 and 5,896.08

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Solution

The fourth proportional to 6,472.80, 9,682.20 and 5,896.08 is: 8,819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.80 : 9,682.20 = 5,896.08 : x
  2. Step 2: Convert to fraction form
    6,472.80/9,682.20 = 5,896.08/x
  3. Step 3: Cross multiply
    6,472.80x = 9,682.20 × 5,896.08
  4. Step 4: Simplify right side
    6,472.80x = 57,087,025.78
  5. Step 5: Solve for x
    x = 57,087,025.78/6,472.80
  6. Step 6: Final answer
    x = 8,819.53

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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.