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Finding the Fourth Proportional to 2,419.64, 3,628.56 and 959

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Solution

The fourth proportional to 2,419.64, 3,628.56 and 959 is: 1,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.64 : 3,628.56 = 959 : x
  2. Step 2: Convert to fraction form
    2,419.64/3,628.56 = 959/x
  3. Step 3: Cross multiply
    2,419.64x = 3,628.56 × 959
  4. Step 4: Simplify right side
    2,419.64x = 3,479,789.04
  5. Step 5: Solve for x
    x = 3,479,789.04/2,419.64
  6. Step 6: Final answer
    x = 1,438.14

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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.