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Finding the Fourth Proportional to 4,749.79, 7,125.26 and 1,978.33

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Solution

The fourth proportional to 4,749.79, 7,125.26 and 1,978.33 is: 2,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.79 : 7,125.26 = 1,978.33 : x
  2. Step 2: Convert to fraction form
    4,749.79/7,125.26 = 1,978.33/x
  3. Step 3: Cross multiply
    4,749.79x = 7,125.26 × 1,978.33
  4. Step 4: Simplify right side
    4,749.79x = 14,096,115.62
  5. Step 5: Solve for x
    x = 14,096,115.62/4,749.79
  6. Step 6: Final answer
    x = 2,967.73

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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.