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Finding the Fourth Proportional to 2,762.51, 4,133.97 and 1,721.66

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Solution

The fourth proportional to 2,762.51, 4,133.97 and 1,721.66 is: 2,576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.51 : 4,133.97 = 1,721.66 : x
  2. Step 2: Convert to fraction form
    2,762.51/4,133.97 = 1,721.66/x
  3. Step 3: Cross multiply
    2,762.51x = 4,133.97 × 1,721.66
  4. Step 4: Simplify right side
    2,762.51x = 7,117,270.12
  5. Step 5: Solve for x
    x = 7,117,270.12/2,762.51
  6. Step 6: Final answer
    x = 2,576.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.