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Finding the Fourth Proportional to 2,489.34, 3,435.08 and 1,441.47

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Solution

The fourth proportional to 2,489.34, 3,435.08 and 1,441.47 is: 1,989.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.34 : 3,435.08 = 1,441.47 : x
  2. Step 2: Convert to fraction form
    2,489.34/3,435.08 = 1,441.47/x
  3. Step 3: Cross multiply
    2,489.34x = 3,435.08 × 1,441.47
  4. Step 4: Simplify right side
    2,489.34x = 4,951,564.77
  5. Step 5: Solve for x
    x = 4,951,564.77/2,489.34
  6. Step 6: Final answer
    x = 1,989.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.