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Finding the Fourth Proportional to 11,083.60, 15,313.80 and 8,743.60

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Solution

The fourth proportional to 11,083.60, 15,313.80 and 8,743.60 is: 12,080.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,083.60 : 15,313.80 = 8,743.60 : x
  2. Step 2: Convert to fraction form
    11,083.60/15,313.80 = 8,743.60/x
  3. Step 3: Cross multiply
    11,083.60x = 15,313.80 × 8,743.60
  4. Step 4: Simplify right side
    11,083.60x = 133,897,741.68
  5. Step 5: Solve for x
    x = 133,897,741.68/11,083.60
  6. Step 6: Final answer
    x = 12,080.71

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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.