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Finding the Fourth Proportional to 2,648.69, 3,973.03 and 917.32

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Solution

The fourth proportional to 2,648.69, 3,973.03 and 917.32 is: 1,375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.69 : 3,973.03 = 917.32 : x
  2. Step 2: Convert to fraction form
    2,648.69/3,973.03 = 917.32/x
  3. Step 3: Cross multiply
    2,648.69x = 3,973.03 × 917.32
  4. Step 4: Simplify right side
    2,648.69x = 3,644,520.01
  5. Step 5: Solve for x
    x = 3,644,520.01/2,648.69
  6. Step 6: Final answer
    x = 1,375.97

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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.