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Finding the Fourth Proportional to 2,747.84, 4,127.68 and 1,722.56

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Solution

The fourth proportional to 2,747.84, 4,127.68 and 1,722.56 is: 2,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.84 : 4,127.68 = 1,722.56 : x
  2. Step 2: Convert to fraction form
    2,747.84/4,127.68 = 1,722.56/x
  3. Step 3: Cross multiply
    2,747.84x = 4,127.68 × 1,722.56
  4. Step 4: Simplify right side
    2,747.84x = 7,110,176.46
  5. Step 5: Solve for x
    x = 7,110,176.46/2,747.84
  6. Step 6: Final answer
    x = 2,587.55

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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.