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Finding the Fourth Proportional to 2,489.48, 3,733.62 and 734.01

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Solution

The fourth proportional to 2,489.48, 3,733.62 and 734.01 is: 1,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.48 : 3,733.62 = 734.01 : x
  2. Step 2: Convert to fraction form
    2,489.48/3,733.62 = 734.01/x
  3. Step 3: Cross multiply
    2,489.48x = 3,733.62 × 734.01
  4. Step 4: Simplify right side
    2,489.48x = 2,740,514.42
  5. Step 5: Solve for x
    x = 2,740,514.42/2,489.48
  6. Step 6: Final answer
    x = 1,100.84

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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.