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Finding the Fourth Proportional to 4,949.81, 7,425.86 and 1,439.90

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Solution

The fourth proportional to 4,949.81, 7,425.86 and 1,439.90 is: 2,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.81 : 7,425.86 = 1,439.90 : x
  2. Step 2: Convert to fraction form
    4,949.81/7,425.86 = 1,439.90/x
  3. Step 3: Cross multiply
    4,949.81x = 7,425.86 × 1,439.90
  4. Step 4: Simplify right side
    4,949.81x = 10,692,451.49
  5. Step 5: Solve for x
    x = 10,692,451.49/4,949.81
  6. Step 6: Final answer
    x = 2,160.18

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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.