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Finding the Fourth Proportional to 1,694.64, 2,538.02 and 1,647.93

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Solution

The fourth proportional to 1,694.64, 2,538.02 and 1,647.93 is: 2,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.64 : 2,538.02 = 1,647.93 : x
  2. Step 2: Convert to fraction form
    1,694.64/2,538.02 = 1,647.93/x
  3. Step 3: Cross multiply
    1,694.64x = 2,538.02 × 1,647.93
  4. Step 4: Simplify right side
    1,694.64x = 4,182,469.39
  5. Step 5: Solve for x
    x = 4,182,469.39/1,694.64
  6. Step 6: Final answer
    x = 2,468.06

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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.