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Finding the Fourth Proportional to 3,991.60, 5,988.13 and 1,650.34

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Solution

The fourth proportional to 3,991.60, 5,988.13 and 1,650.34 is: 2,475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.60 : 5,988.13 = 1,650.34 : x
  2. Step 2: Convert to fraction form
    3,991.60/5,988.13 = 1,650.34/x
  3. Step 3: Cross multiply
    3,991.60x = 5,988.13 × 1,650.34
  4. Step 4: Simplify right side
    3,991.60x = 9,882,420.52
  5. Step 5: Solve for x
    x = 9,882,420.52/3,991.60
  6. Step 6: Final answer
    x = 2,475.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.