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Finding the Fourth Proportional to 11,287.43, 15,578.43 and 6,811.82

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Solution

The fourth proportional to 11,287.43, 15,578.43 and 6,811.82 is: 9,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.43 : 15,578.43 = 6,811.82 : x
  2. Step 2: Convert to fraction form
    11,287.43/15,578.43 = 6,811.82/x
  3. Step 3: Cross multiply
    11,287.43x = 15,578.43 × 6,811.82
  4. Step 4: Simplify right side
    11,287.43x = 106,117,459.84
  5. Step 5: Solve for x
    x = 106,117,459.84/11,287.43
  6. Step 6: Final answer
    x = 9,401.39

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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.