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Finding the Fourth Proportional to 1,801.60, 2,684.49 and 1,605.09

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Solution

The fourth proportional to 1,801.60, 2,684.49 and 1,605.09 is: 2,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.60 : 2,684.49 = 1,605.09 : x
  2. Step 2: Convert to fraction form
    1,801.60/2,684.49 = 1,605.09/x
  3. Step 3: Cross multiply
    1,801.60x = 2,684.49 × 1,605.09
  4. Step 4: Simplify right side
    1,801.60x = 4,308,865.64
  5. Step 5: Solve for x
    x = 4,308,865.64/1,801.60
  6. Step 6: Final answer
    x = 2,391.68

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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.