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Finding the Fourth Proportional to 11,712.75, 17,568.68 and 5,139

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Solution

The fourth proportional to 11,712.75, 17,568.68 and 5,139 is: 7,708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.75 : 17,568.68 = 5,139 : x
  2. Step 2: Convert to fraction form
    11,712.75/17,568.68 = 5,139/x
  3. Step 3: Cross multiply
    11,712.75x = 17,568.68 × 5,139
  4. Step 4: Simplify right side
    11,712.75x = 90,285,420.83
  5. Step 5: Solve for x
    x = 90,285,420.83/11,712.75
  6. Step 6: Final answer
    x = 7,708.30

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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.