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Finding the Fourth Proportional to 2,751.62, 4,120.14 and 1,654.47

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Solution

The fourth proportional to 2,751.62, 4,120.14 and 1,654.47 is: 2,477.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.62 : 4,120.14 = 1,654.47 : x
  2. Step 2: Convert to fraction form
    2,751.62/4,120.14 = 1,654.47/x
  3. Step 3: Cross multiply
    2,751.62x = 4,120.14 × 1,654.47
  4. Step 4: Simplify right side
    2,751.62x = 6,816,657.27
  5. Step 5: Solve for x
    x = 6,816,657.27/2,751.62
  6. Step 6: Final answer
    x = 2,477.33

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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.