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Finding the Fourth Proportional to 2,648.58, 3,656.73 and 1,704.74

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Solution

The fourth proportional to 2,648.58, 3,656.73 and 1,704.74 is: 2,353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.58 : 3,656.73 = 1,704.74 : x
  2. Step 2: Convert to fraction form
    2,648.58/3,656.73 = 1,704.74/x
  3. Step 3: Cross multiply
    2,648.58x = 3,656.73 × 1,704.74
  4. Step 4: Simplify right side
    2,648.58x = 6,233,755.62
  5. Step 5: Solve for x
    x = 6,233,755.62/2,648.58
  6. Step 6: Final answer
    x = 2,353.62

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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.