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Finding the Fourth Proportional to 6,491.40, 9,714.70 and 3,896.20

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Solution

The fourth proportional to 6,491.40, 9,714.70 and 3,896.20 is: 5,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.40 : 9,714.70 = 3,896.20 : x
  2. Step 2: Convert to fraction form
    6,491.40/9,714.70 = 3,896.20/x
  3. Step 3: Cross multiply
    6,491.40x = 9,714.70 × 3,896.20
  4. Step 4: Simplify right side
    6,491.40x = 37,850,414.14
  5. Step 5: Solve for x
    x = 37,850,414.14/6,491.40
  6. Step 6: Final answer
    x = 5,830.86

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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.