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Finding the Fourth Proportional to 6,491.22, 9,737.69 and 2,980.41

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Solution

The fourth proportional to 6,491.22, 9,737.69 and 2,980.41 is: 4,471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.22 : 9,737.69 = 2,980.41 : x
  2. Step 2: Convert to fraction form
    6,491.22/9,737.69 = 2,980.41/x
  3. Step 3: Cross multiply
    6,491.22x = 9,737.69 × 2,980.41
  4. Step 4: Simplify right side
    6,491.22x = 29,022,293.75
  5. Step 5: Solve for x
    x = 29,022,293.75/6,491.22
  6. Step 6: Final answer
    x = 4,471.01

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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.