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Finding the Fourth Proportional to 2,648.86, 3,655.64 and 1,469.90

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Solution

The fourth proportional to 2,648.86, 3,655.64 and 1,469.90 is: 2,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.86 : 3,655.64 = 1,469.90 : x
  2. Step 2: Convert to fraction form
    2,648.86/3,655.64 = 1,469.90/x
  3. Step 3: Cross multiply
    2,648.86x = 3,655.64 × 1,469.90
  4. Step 4: Simplify right side
    2,648.86x = 5,373,425.24
  5. Step 5: Solve for x
    x = 5,373,425.24/2,648.86
  6. Step 6: Final answer
    x = 2,028.58

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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.