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Finding the Fourth Proportional to 5,329.66, 7,354.81 and 2,971.75

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Solution

The fourth proportional to 5,329.66, 7,354.81 and 2,971.75 is: 4,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.66 : 7,354.81 = 2,971.75 : x
  2. Step 2: Convert to fraction form
    5,329.66/7,354.81 = 2,971.75/x
  3. Step 3: Cross multiply
    5,329.66x = 7,354.81 × 2,971.75
  4. Step 4: Simplify right side
    5,329.66x = 21,856,656.62
  5. Step 5: Solve for x
    x = 21,856,656.62/5,329.66
  6. Step 6: Final answer
    x = 4,100.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.