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Finding the Fourth Proportional to 11,578.67, 15,978.60 and 6,273.50

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Solution

The fourth proportional to 11,578.67, 15,978.60 and 6,273.50 is: 8,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.67 : 15,978.60 = 6,273.50 : x
  2. Step 2: Convert to fraction form
    11,578.67/15,978.60 = 6,273.50/x
  3. Step 3: Cross multiply
    11,578.67x = 15,978.60 × 6,273.50
  4. Step 4: Simplify right side
    11,578.67x = 100,241,747.10
  5. Step 5: Solve for x
    x = 100,241,747.10/11,578.67
  6. Step 6: Final answer
    x = 8,657.45

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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.