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Finding the Fourth Proportional to 3,644.58, 5,029.50 and 1,988.58

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Solution

The fourth proportional to 3,644.58, 5,029.50 and 1,988.58 is: 2,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.58 : 5,029.50 = 1,988.58 : x
  2. Step 2: Convert to fraction form
    3,644.58/5,029.50 = 1,988.58/x
  3. Step 3: Cross multiply
    3,644.58x = 5,029.50 × 1,988.58
  4. Step 4: Simplify right side
    3,644.58x = 10,001,563.11
  5. Step 5: Solve for x
    x = 10,001,563.11/3,644.58
  6. Step 6: Final answer
    x = 2,744.23

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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.