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Finding the Fourth Proportional to 11,558, 15,943.56 and 7,083.92

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Solution

The fourth proportional to 11,558, 15,943.56 and 7,083.92 is: 9,771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558 : 15,943.56 = 7,083.92 : x
  2. Step 2: Convert to fraction form
    11,558/15,943.56 = 7,083.92/x
  3. Step 3: Cross multiply
    11,558x = 15,943.56 × 7,083.92
  4. Step 4: Simplify right side
    11,558x = 112,942,903.56
  5. Step 5: Solve for x
    x = 112,942,903.56/11,558
  6. Step 6: Final answer
    x = 9,771.84

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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.