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Finding the Fourth Proportional to 11,459.75, 15,814.48 and 6,491.75

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Solution

The fourth proportional to 11,459.75, 15,814.48 and 6,491.75 is: 8,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.75 : 15,814.48 = 6,491.75 : x
  2. Step 2: Convert to fraction form
    11,459.75/15,814.48 = 6,491.75/x
  3. Step 3: Cross multiply
    11,459.75x = 15,814.48 × 6,491.75
  4. Step 4: Simplify right side
    11,459.75x = 102,663,650.54
  5. Step 5: Solve for x
    x = 102,663,650.54/11,459.75
  6. Step 6: Final answer
    x = 8,958.63

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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.