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Finding the Fourth Proportional to 1,770.60, 2,669.16 and 1,651.67

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Solution

The fourth proportional to 1,770.60, 2,669.16 and 1,651.67 is: 2,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.60 : 2,669.16 = 1,651.67 : x
  2. Step 2: Convert to fraction form
    1,770.60/2,669.16 = 1,651.67/x
  3. Step 3: Cross multiply
    1,770.60x = 2,669.16 × 1,651.67
  4. Step 4: Simplify right side
    1,770.60x = 4,408,571.50
  5. Step 5: Solve for x
    x = 4,408,571.50/1,770.60
  6. Step 6: Final answer
    x = 2,489.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.