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Finding the Fourth Proportional to 2,489.80, 3,742.80 and 1,764.40

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Solution

The fourth proportional to 2,489.80, 3,742.80 and 1,764.40 is: 2,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.80 : 3,742.80 = 1,764.40 : x
  2. Step 2: Convert to fraction form
    2,489.80/3,742.80 = 1,764.40/x
  3. Step 3: Cross multiply
    2,489.80x = 3,742.80 × 1,764.40
  4. Step 4: Simplify right side
    2,489.80x = 6,603,796.32
  5. Step 5: Solve for x
    x = 6,603,796.32/2,489.80
  6. Step 6: Final answer
    x = 2,652.34

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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.