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Finding the Fourth Proportional to 2,751.48, 4,124.48 and 1,778.27

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Solution

The fourth proportional to 2,751.48, 4,124.48 and 1,778.27 is: 2,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.48 : 4,124.48 = 1,778.27 : x
  2. Step 2: Convert to fraction form
    2,751.48/4,124.48 = 1,778.27/x
  3. Step 3: Cross multiply
    2,751.48x = 4,124.48 × 1,778.27
  4. Step 4: Simplify right side
    2,751.48x = 7,334,409.54
  5. Step 5: Solve for x
    x = 7,334,409.54/2,751.48
  6. Step 6: Final answer
    x = 2,665.62

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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.