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Finding the Fourth Proportional to 11,459.82, 15,802.56 and 8,481.90

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Solution

The fourth proportional to 11,459.82, 15,802.56 and 8,481.90 is: 11,696.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.82 : 15,802.56 = 8,481.90 : x
  2. Step 2: Convert to fraction form
    11,459.82/15,802.56 = 8,481.90/x
  3. Step 3: Cross multiply
    11,459.82x = 15,802.56 × 8,481.90
  4. Step 4: Simplify right side
    11,459.82x = 134,035,733.66
  5. Step 5: Solve for x
    x = 134,035,733.66/11,459.82
  6. Step 6: Final answer
    x = 11,696.15

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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.