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Finding the Fourth Proportional to 3,308.65, 4,963.70 and 968.71

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Solution

The fourth proportional to 3,308.65, 4,963.70 and 968.71 is: 1,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.65 : 4,963.70 = 968.71 : x
  2. Step 2: Convert to fraction form
    3,308.65/4,963.70 = 968.71/x
  3. Step 3: Cross multiply
    3,308.65x = 4,963.70 × 968.71
  4. Step 4: Simplify right side
    3,308.65x = 4,808,380.98
  5. Step 5: Solve for x
    x = 4,808,380.98/3,308.65
  6. Step 6: Final answer
    x = 1,453.28

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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.