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Finding the Fourth Proportional to 2,743.22, 3,786 and 1,564.66

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Solution

The fourth proportional to 2,743.22, 3,786 and 1,564.66 is: 2,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.22 : 3,786 = 1,564.66 : x
  2. Step 2: Convert to fraction form
    2,743.22/3,786 = 1,564.66/x
  3. Step 3: Cross multiply
    2,743.22x = 3,786 × 1,564.66
  4. Step 4: Simplify right side
    2,743.22x = 5,923,802.76
  5. Step 5: Solve for x
    x = 5,923,802.76/2,743.22
  6. Step 6: Final answer
    x = 2,159.43

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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.