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Finding the Fourth Proportional to 3,991.62, 5,988.75 and 1,770.15

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Solution

The fourth proportional to 3,991.62, 5,988.75 and 1,770.15 is: 2,655.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.62 : 5,988.75 = 1,770.15 : x
  2. Step 2: Convert to fraction form
    3,991.62/5,988.75 = 1,770.15/x
  3. Step 3: Cross multiply
    3,991.62x = 5,988.75 × 1,770.15
  4. Step 4: Simplify right side
    3,991.62x = 10,600,985.81
  5. Step 5: Solve for x
    x = 10,600,985.81/3,991.62
  6. Step 6: Final answer
    x = 2,655.81

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Why These Related Problems?

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