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Finding the Fourth Proportional to 5,300.13, 7,948.98 and 2,179.47

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Solution

The fourth proportional to 5,300.13, 7,948.98 and 2,179.47 is: 3,268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.13 : 7,948.98 = 2,179.47 : x
  2. Step 2: Convert to fraction form
    5,300.13/7,948.98 = 2,179.47/x
  3. Step 3: Cross multiply
    5,300.13x = 7,948.98 × 2,179.47
  4. Step 4: Simplify right side
    5,300.13x = 17,324,563.44
  5. Step 5: Solve for x
    x = 17,324,563.44/5,300.13
  6. Step 6: Final answer
    x = 3,268.71

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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.