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Finding the Fourth Proportional to 6,491.86, 9,736.74 and 2,331.76

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Solution

The fourth proportional to 6,491.86, 9,736.74 and 2,331.76 is: 3,497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.86 : 9,736.74 = 2,331.76 : x
  2. Step 2: Convert to fraction form
    6,491.86/9,736.74 = 2,331.76/x
  3. Step 3: Cross multiply
    6,491.86x = 9,736.74 × 2,331.76
  4. Step 4: Simplify right side
    6,491.86x = 22,703,740.86
  5. Step 5: Solve for x
    x = 22,703,740.86/6,491.86
  6. Step 6: Final answer
    x = 3,497.26

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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.