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Finding the Fourth Proportional to 11,559, 15,944.94 and 7,084.92

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Solution

The fourth proportional to 11,559, 15,944.94 and 7,084.92 is: 9,773.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559 : 15,944.94 = 7,084.92 : x
  2. Step 2: Convert to fraction form
    11,559/15,944.94 = 7,084.92/x
  3. Step 3: Cross multiply
    11,559x = 15,944.94 × 7,084.92
  4. Step 4: Simplify right side
    11,559x = 112,968,624.30
  5. Step 5: Solve for x
    x = 112,968,624.30/11,559
  6. Step 6: Final answer
    x = 9,773.22

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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.