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Finding the Fourth Proportional to 1,770.42, 2,655.28 and 1,682.61

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Solution

The fourth proportional to 1,770.42, 2,655.28 and 1,682.61 is: 2,523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.42 : 2,655.28 = 1,682.61 : x
  2. Step 2: Convert to fraction form
    1,770.42/2,655.28 = 1,682.61/x
  3. Step 3: Cross multiply
    1,770.42x = 2,655.28 × 1,682.61
  4. Step 4: Simplify right side
    1,770.42x = 4,467,800.68
  5. Step 5: Solve for x
    x = 4,467,800.68/1,770.42
  6. Step 6: Final answer
    x = 2,523.58

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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.