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Finding the Fourth Proportional to 1,770.36, 2,655.20 and 1,682.55

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Solution

The fourth proportional to 1,770.36, 2,655.20 and 1,682.55 is: 2,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.36 : 2,655.20 = 1,682.55 : x
  2. Step 2: Convert to fraction form
    1,770.36/2,655.20 = 1,682.55/x
  3. Step 3: Cross multiply
    1,770.36x = 2,655.20 × 1,682.55
  4. Step 4: Simplify right side
    1,770.36x = 4,467,498.35
  5. Step 5: Solve for x
    x = 4,467,498.35/1,770.36
  6. Step 6: Final answer
    x = 2,523.50

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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.