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Finding the Fourth Proportional to 4,978.80, 7,460.26 and 2,755.69

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Solution

The fourth proportional to 4,978.80, 7,460.26 and 2,755.69 is: 4,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.80 : 7,460.26 = 2,755.69 : x
  2. Step 2: Convert to fraction form
    4,978.80/7,460.26 = 2,755.69/x
  3. Step 3: Cross multiply
    4,978.80x = 7,460.26 × 2,755.69
  4. Step 4: Simplify right side
    4,978.80x = 20,558,138.34
  5. Step 5: Solve for x
    x = 20,558,138.34/4,978.80
  6. Step 6: Final answer
    x = 4,129.14

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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.