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Finding the Fourth Proportional to 5,755.62, 8,614.86 and 2,978.47

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Solution

The fourth proportional to 5,755.62, 8,614.86 and 2,978.47 is: 4,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.62 : 8,614.86 = 2,978.47 : x
  2. Step 2: Convert to fraction form
    5,755.62/8,614.86 = 2,978.47/x
  3. Step 3: Cross multiply
    5,755.62x = 8,614.86 × 2,978.47
  4. Step 4: Simplify right side
    5,755.62x = 25,659,102.06
  5. Step 5: Solve for x
    x = 25,659,102.06/5,755.62
  6. Step 6: Final answer
    x = 4,458.10

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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.