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Finding the Fourth Proportional to 4,638.62, 6,957.90 and 3,719.95

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Solution

The fourth proportional to 4,638.62, 6,957.90 and 3,719.95 is: 5,579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.62 : 6,957.90 = 3,719.95 : x
  2. Step 2: Convert to fraction form
    4,638.62/6,957.90 = 3,719.95/x
  3. Step 3: Cross multiply
    4,638.62x = 6,957.90 × 3,719.95
  4. Step 4: Simplify right side
    4,638.62x = 25,883,022.71
  5. Step 5: Solve for x
    x = 25,883,022.71/4,638.62
  6. Step 6: Final answer
    x = 5,579.89

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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.