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Finding the Fourth Proportional to 1,762.22, 2,658.82 and 1,747.64

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Solution

The fourth proportional to 1,762.22, 2,658.82 and 1,747.64 is: 2,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.22 : 2,658.82 = 1,747.64 : x
  2. Step 2: Convert to fraction form
    1,762.22/2,658.82 = 1,747.64/x
  3. Step 3: Cross multiply
    1,762.22x = 2,658.82 × 1,747.64
  4. Step 4: Simplify right side
    1,762.22x = 4,646,660.18
  5. Step 5: Solve for x
    x = 4,646,660.18/1,762.22
  6. Step 6: Final answer
    x = 2,636.82

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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.