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Finding the Fourth Proportional to 2,699.75, 3,727.28 and 1,769.87

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Solution

The fourth proportional to 2,699.75, 3,727.28 and 1,769.87 is: 2,443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.75 : 3,727.28 = 1,769.87 : x
  2. Step 2: Convert to fraction form
    2,699.75/3,727.28 = 1,769.87/x
  3. Step 3: Cross multiply
    2,699.75x = 3,727.28 × 1,769.87
  4. Step 4: Simplify right side
    2,699.75x = 6,596,792.20
  5. Step 5: Solve for x
    x = 6,596,792.20/2,699.75
  6. Step 6: Final answer
    x = 2,443.48

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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.