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Finding the Fourth Proportional to 5,605.39, 7,679.42 and 5,395.19

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Solution

The fourth proportional to 5,605.39, 7,679.42 and 5,395.19 is: 7,391.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.39 : 7,679.42 = 5,395.19 : x
  2. Step 2: Convert to fraction form
    5,605.39/7,679.42 = 5,395.19/x
  3. Step 3: Cross multiply
    5,605.39x = 7,679.42 × 5,395.19
  4. Step 4: Simplify right side
    5,605.39x = 41,431,912.87
  5. Step 5: Solve for x
    x = 41,431,912.87/5,605.39
  6. Step 6: Final answer
    x = 7,391.45

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.