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Finding the Fourth Proportional to 3,805.79, 5,718.20 and 2,419.67

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Solution

The fourth proportional to 3,805.79, 5,718.20 and 2,419.67 is: 3,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.79 : 5,718.20 = 2,419.67 : x
  2. Step 2: Convert to fraction form
    3,805.79/5,718.20 = 2,419.67/x
  3. Step 3: Cross multiply
    3,805.79x = 5,718.20 × 2,419.67
  4. Step 4: Simplify right side
    3,805.79x = 13,836,159.19
  5. Step 5: Solve for x
    x = 13,836,159.19/3,805.79
  6. Step 6: Final answer
    x = 3,635.56

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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.