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Finding the Fourth Proportional to 11,708.56, 17,564 and 5,047.28

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Solution

The fourth proportional to 11,708.56, 17,564 and 5,047.28 is: 7,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.56 : 17,564 = 5,047.28 : x
  2. Step 2: Convert to fraction form
    11,708.56/17,564 = 5,047.28/x
  3. Step 3: Cross multiply
    11,708.56x = 17,564 × 5,047.28
  4. Step 4: Simplify right side
    11,708.56x = 88,650,425.92
  5. Step 5: Solve for x
    x = 88,650,425.92/11,708.56
  6. Step 6: Final answer
    x = 7,571.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.