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Finding the Fourth Proportional to 2,748.70, 3,793.08 and 1,569.70

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Solution

The fourth proportional to 2,748.70, 3,793.08 and 1,569.70 is: 2,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.70 : 3,793.08 = 1,569.70 : x
  2. Step 2: Convert to fraction form
    2,748.70/3,793.08 = 1,569.70/x
  3. Step 3: Cross multiply
    2,748.70x = 3,793.08 × 1,569.70
  4. Step 4: Simplify right side
    2,748.70x = 5,953,997.68
  5. Step 5: Solve for x
    x = 5,953,997.68/2,748.70
  6. Step 6: Final answer
    x = 2,166.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.