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Finding the Fourth Proportional to 5,308.72, 7,960.64 and 2,935.21

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Solution

The fourth proportional to 5,308.72, 7,960.64 and 2,935.21 is: 4,401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.72 : 7,960.64 = 2,935.21 : x
  2. Step 2: Convert to fraction form
    5,308.72/7,960.64 = 2,935.21/x
  3. Step 3: Cross multiply
    5,308.72x = 7,960.64 × 2,935.21
  4. Step 4: Simplify right side
    5,308.72x = 23,366,150.13
  5. Step 5: Solve for x
    x = 23,366,150.13/5,308.72
  6. Step 6: Final answer
    x = 4,401.47

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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.