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Finding the Fourth Proportional to 6,491.44, 9,737.16 and 2,108.86

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Solution

The fourth proportional to 6,491.44, 9,737.16 and 2,108.86 is: 3,163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.44 : 9,737.16 = 2,108.86 : x
  2. Step 2: Convert to fraction form
    6,491.44/9,737.16 = 2,108.86/x
  3. Step 3: Cross multiply
    6,491.44x = 9,737.16 × 2,108.86
  4. Step 4: Simplify right side
    6,491.44x = 20,534,307.24
  5. Step 5: Solve for x
    x = 20,534,307.24/6,491.44
  6. Step 6: Final answer
    x = 3,163.29

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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.