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Finding the Fourth Proportional to 2,648.64, 3,654.24 and 1,764.60

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Solution

The fourth proportional to 2,648.64, 3,654.24 and 1,764.60 is: 2,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.64 : 3,654.24 = 1,764.60 : x
  2. Step 2: Convert to fraction form
    2,648.64/3,654.24 = 1,764.60/x
  3. Step 3: Cross multiply
    2,648.64x = 3,654.24 × 1,764.60
  4. Step 4: Simplify right side
    2,648.64x = 6,448,271.90
  5. Step 5: Solve for x
    x = 6,448,271.90/2,648.64
  6. Step 6: Final answer
    x = 2,434.56

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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.