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Finding the Fourth Proportional to 4,749.87, 7,120.97 and 1,978.63

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Solution

The fourth proportional to 4,749.87, 7,120.97 and 1,978.63 is: 2,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.87 : 7,120.97 = 1,978.63 : x
  2. Step 2: Convert to fraction form
    4,749.87/7,120.97 = 1,978.63/x
  3. Step 3: Cross multiply
    4,749.87x = 7,120.97 × 1,978.63
  4. Step 4: Simplify right side
    4,749.87x = 14,089,795.78
  5. Step 5: Solve for x
    x = 14,089,795.78/4,749.87
  6. Step 6: Final answer
    x = 2,966.35

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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.