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Finding the Fourth Proportional to 4,749.84, 7,127.31 and 1,978.43

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Solution

The fourth proportional to 4,749.84, 7,127.31 and 1,978.43 is: 2,968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.84 : 7,127.31 = 1,978.43 : x
  2. Step 2: Convert to fraction form
    4,749.84/7,127.31 = 1,978.43/x
  3. Step 3: Cross multiply
    4,749.84x = 7,127.31 × 1,978.43
  4. Step 4: Simplify right side
    4,749.84x = 14,100,883.92
  5. Step 5: Solve for x
    x = 14,100,883.92/4,749.84
  6. Step 6: Final answer
    x = 2,968.71

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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.