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Finding the Fourth Proportional to 2,769, 4,172.15 and 2,470.56

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Solution

The fourth proportional to 2,769, 4,172.15 and 2,470.56 is: 3,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769 : 4,172.15 = 2,470.56 : x
  2. Step 2: Convert to fraction form
    2,769/4,172.15 = 2,470.56/x
  3. Step 3: Cross multiply
    2,769x = 4,172.15 × 2,470.56
  4. Step 4: Simplify right side
    2,769x = 10,307,546.90
  5. Step 5: Solve for x
    x = 10,307,546.90/2,769
  6. Step 6: Final answer
    x = 3,722.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.