Home / 5,301-7,948.50-2,183.16

Finding the Fourth Proportional to 5,301, 7,948.50 and 2,183.16

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Solution

The fourth proportional to 5,301, 7,948.50 and 2,183.16 is: 3,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301 : 7,948.50 = 2,183.16 : x
  2. Step 2: Convert to fraction form
    5,301/7,948.50 = 2,183.16/x
  3. Step 3: Cross multiply
    5,301x = 7,948.50 × 2,183.16
  4. Step 4: Simplify right side
    5,301x = 17,352,847.26
  5. Step 5: Solve for x
    x = 17,352,847.26/5,301
  6. Step 6: Final answer
    x = 3,273.50

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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.