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Finding the Fourth Proportional to 11,578.80, 15,978.81 and 6,273.60

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Solution

The fourth proportional to 11,578.80, 15,978.81 and 6,273.60 is: 8,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.80 : 15,978.81 = 6,273.60 : x
  2. Step 2: Convert to fraction form
    11,578.80/15,978.81 = 6,273.60/x
  3. Step 3: Cross multiply
    11,578.80x = 15,978.81 × 6,273.60
  4. Step 4: Simplify right side
    11,578.80x = 100,244,662.42
  5. Step 5: Solve for x
    x = 100,244,662.42/11,578.80
  6. Step 6: Final answer
    x = 8,657.60

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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.