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Finding the Fourth Proportional to 2,419.71, 3,628.14 and 775.41

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Solution

The fourth proportional to 2,419.71, 3,628.14 and 775.41 is: 1,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.71 : 3,628.14 = 775.41 : x
  2. Step 2: Convert to fraction form
    2,419.71/3,628.14 = 775.41/x
  3. Step 3: Cross multiply
    2,419.71x = 3,628.14 × 775.41
  4. Step 4: Simplify right side
    2,419.71x = 2,813,274.02
  5. Step 5: Solve for x
    x = 2,813,274.02/2,419.71
  6. Step 6: Final answer
    x = 1,162.65

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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.