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Finding the Fourth Proportional to 2,648.86, 3,963.34 and 1,648.51

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Solution

The fourth proportional to 2,648.86, 3,963.34 and 1,648.51 is: 2,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.86 : 3,963.34 = 1,648.51 : x
  2. Step 2: Convert to fraction form
    2,648.86/3,963.34 = 1,648.51/x
  3. Step 3: Cross multiply
    2,648.86x = 3,963.34 × 1,648.51
  4. Step 4: Simplify right side
    2,648.86x = 6,533,605.62
  5. Step 5: Solve for x
    x = 6,533,605.62/2,648.86
  6. Step 6: Final answer
    x = 2,466.57

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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.