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Finding the Fourth Proportional to 3,669.88, 5,064.47 and 1,991.30

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Solution

The fourth proportional to 3,669.88, 5,064.47 and 1,991.30 is: 2,748.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.88 : 5,064.47 = 1,991.30 : x
  2. Step 2: Convert to fraction form
    3,669.88/5,064.47 = 1,991.30/x
  3. Step 3: Cross multiply
    3,669.88x = 5,064.47 × 1,991.30
  4. Step 4: Simplify right side
    3,669.88x = 10,084,874.19
  5. Step 5: Solve for x
    x = 10,084,874.19/3,669.88
  6. Step 6: Final answer
    x = 2,748.01

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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.