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Finding the Fourth Proportional to 5,646.25, 7,791.81 and 3,128.37

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Solution

The fourth proportional to 5,646.25, 7,791.81 and 3,128.37 is: 4,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.25 : 7,791.81 = 3,128.37 : x
  2. Step 2: Convert to fraction form
    5,646.25/7,791.81 = 3,128.37/x
  3. Step 3: Cross multiply
    5,646.25x = 7,791.81 × 3,128.37
  4. Step 4: Simplify right side
    5,646.25x = 24,375,664.65
  5. Step 5: Solve for x
    x = 24,375,664.65/5,646.25
  6. Step 6: Final answer
    x = 4,317.14

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1.5x scale

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.