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Finding the Fourth Proportional to 11,561.76, 15,938.64 and 8,244

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Solution

The fourth proportional to 11,561.76, 15,938.64 and 8,244 is: 11,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.76 : 15,938.64 = 8,244 : x
  2. Step 2: Convert to fraction form
    11,561.76/15,938.64 = 8,244/x
  3. Step 3: Cross multiply
    11,561.76x = 15,938.64 × 8,244
  4. Step 4: Simplify right side
    11,561.76x = 131,398,148.16
  5. Step 5: Solve for x
    x = 131,398,148.16/11,561.76
  6. Step 6: Final answer
    x = 11,364.89

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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.