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Finding the Fourth Proportional to 2,751.84, 4,127.67 and 1,827.18

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Solution

The fourth proportional to 2,751.84, 4,127.67 and 1,827.18 is: 2,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.84 : 4,127.67 = 1,827.18 : x
  2. Step 2: Convert to fraction form
    2,751.84/4,127.67 = 1,827.18/x
  3. Step 3: Cross multiply
    2,751.84x = 4,127.67 × 1,827.18
  4. Step 4: Simplify right side
    2,751.84x = 7,541,996.07
  5. Step 5: Solve for x
    x = 7,541,996.07/2,751.84
  6. Step 6: Final answer
    x = 2,740.71

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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.