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Finding the Fourth Proportional to 8,183, 11,292.78 and 4,457.24

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Solution

The fourth proportional to 8,183, 11,292.78 and 4,457.24 is: 6,151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183 : 11,292.78 = 4,457.24 : x
  2. Step 2: Convert to fraction form
    8,183/11,292.78 = 4,457.24/x
  3. Step 3: Cross multiply
    8,183x = 11,292.78 × 4,457.24
  4. Step 4: Simplify right side
    8,183x = 50,334,630.73
  5. Step 5: Solve for x
    x = 50,334,630.73/8,183
  6. Step 6: Final answer
    x = 6,151.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.