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Finding the Fourth Proportional to 2,769, 3,821.28 and 1,527

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Solution

The fourth proportional to 2,769, 3,821.28 and 1,527 is: 2,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769 : 3,821.28 = 1,527 : x
  2. Step 2: Convert to fraction form
    2,769/3,821.28 = 1,527/x
  3. Step 3: Cross multiply
    2,769x = 3,821.28 × 1,527
  4. Step 4: Simplify right side
    2,769x = 5,835,094.56
  5. Step 5: Solve for x
    x = 5,835,094.56/2,769
  6. Step 6: Final answer
    x = 2,107.29

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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.