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Finding the Fourth Proportional to 1,694.82, 2,542.77 and 1,564.50

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Solution

The fourth proportional to 1,694.82, 2,542.77 and 1,564.50 is: 2,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.82 : 2,542.77 = 1,564.50 : x
  2. Step 2: Convert to fraction form
    1,694.82/2,542.77 = 1,564.50/x
  3. Step 3: Cross multiply
    1,694.82x = 2,542.77 × 1,564.50
  4. Step 4: Simplify right side
    1,694.82x = 3,978,163.67
  5. Step 5: Solve for x
    x = 3,978,163.67/1,694.82
  6. Step 6: Final answer
    x = 2,347.25

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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.