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Finding the Fourth Proportional to 1,699.67, 2,532.83 and 1,643.94

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Solution

The fourth proportional to 1,699.67, 2,532.83 and 1,643.94 is: 2,449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.67 : 2,532.83 = 1,643.94 : x
  2. Step 2: Convert to fraction form
    1,699.67/2,532.83 = 1,643.94/x
  3. Step 3: Cross multiply
    1,699.67x = 2,532.83 × 1,643.94
  4. Step 4: Simplify right side
    1,699.67x = 4,163,812.33
  5. Step 5: Solve for x
    x = 4,163,812.33/1,699.67
  6. Step 6: Final answer
    x = 2,449.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.