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Finding the Fourth Proportional to 4,969.86, 7,454.73 and 3,721.75

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Solution

The fourth proportional to 4,969.86, 7,454.73 and 3,721.75 is: 5,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.86 : 7,454.73 = 3,721.75 : x
  2. Step 2: Convert to fraction form
    4,969.86/7,454.73 = 3,721.75/x
  3. Step 3: Cross multiply
    4,969.86x = 7,454.73 × 3,721.75
  4. Step 4: Simplify right side
    4,969.86x = 27,744,636.70
  5. Step 5: Solve for x
    x = 27,744,636.70/4,969.86
  6. Step 6: Final answer
    x = 5,582.58

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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.